diff --git "a/data/dm_maths/full_data_1/2024_11255.jsonl" "b/data/dm_maths/full_data_1/2024_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2024_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Is 977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 56?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 597999 and 45132?\nAnswer: 2391996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -40*u**3 + u**2 - u - 2. Let g be z(-1). List the prime factors of ((-448)\/g)\/((-3)\/45).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 5*q**2\/2 + 7. Let w(l) = l**2. Determine w(x(m)).\nAnswer: 25*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*d**4 + 2 - 24*d**4 + 7 + 3*d**3 + 89*d**4 - 6*d - 31*d**4 in the form a*d**2 + n*d**4 + g*d**3 + j*d + w and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 610 and 995840?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100110001111101000010 (base 2) to base 9.\nAnswer: 6265717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 26, 53, 80, 107, 134, 161?\n\"Answer: 27*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 9*i**3 - i**2 - 33*i + 3. Let k(g) = 17*g**3 - 3*g**2 - 68*g + 7. Let p(q) = -7*a(q) + 3*k(q). What is the second derivative of p(x) wrt x?\nAnswer: -72*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t**2 + 4. Let w(h) = 5*h - 21. Let o be w(5). Let z be o*(-7 + (-87)\/(-12)). Let i(g) = g**2. Give z*j(p) - 3*i(p).\nAnswer: p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*h**2 + 207*h**2 + 10*h - 12*h.\nAnswer: 19*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 3*u - 2*u)*(-72*u + 423*u - 34*u).\nAnswer: -634*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) -18 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3 - f**4 + 1045*f**3 - 3*f + f - 1289*f**3 to q*f**2 + x*f**4 + b*f + h*f**3 + y and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4}. What is prob of picking 3 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.00296 + -3.99704. Which is the third biggest value? (a) z (b) 154 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3424321 and 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*25\/(-30)*(-1068)\/(-890).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -17072459, -34144920, -51217381, -68289842, -85362303?\n\"Answer: -17072461*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**4 - 16*k**4 + 1898 - 1896)*(-2 + 0 + 0).\nAnswer: 34*k**4 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -103868.8 + 103869. Let v = -0.015 + 84.015. Which is bigger: j or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3*(-1 + sqrt(605)))**2.\nAnswer: -990*sqrt(5) + 27270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/2 + 2469*m.\nAnswer: m*(m + 4938)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h + 12. Does 3 divide d(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 649941 is divided by 19694?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/21 (b) 4 (c) 5 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 36 = 22. Let v = -189 - g. Let f be (v\/(-15))\/4*9\/2. Solve 0 = -c - x - 3, -5*c = -3*x - x - f for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/5 + 94672*c**2\/5 + 230078464*c + 706245267456\/5.\nAnswer: 2*(c + 648)*(c + 23344)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 103409 - 69458. List the prime factors of s.\nAnswer: 3, 11317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d - 3. Let n be h(4). Let c = n + 15. Let j be c + (-3 - -1)\/2. Solve 2*w = -w - j for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.0040989 (b) -0.11 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1028411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -174450278, -174450273, -174450270, -174450269, -174450270, -174450273?\nAnswer: -174450278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t**3 - 40*t**2 - 9*t + 281. Calculate y(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b = -162 + 184. Sort 76, b, 0 in ascending order.\nAnswer: b, 0, 76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - sqrt(77)*-1)*-5)\/(5*2*sqrt(7)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -363 - -364. Let h = 10 + -6. Suppose -k + 4*l - 3 = -h*k, 0 = k - l - s. Which is bigger: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t**3 + 77*t**2 + 19*t - 13. Give x(-19).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1168\/(-9198)*-18)\/(8\/(-238)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 + -33. Suppose 43 = 4*d + 3*s, -s + f*s = 5*d - 48. Suppose b = -2*b + 6. Solve -2*r - 3*a - 1 = 0, d = -r + 2*r - b*a for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -6*d + 60. Suppose 4*c - 6*x = -x + 39, 2*x - 26 = -c. What is the lowest common multiple of c and d?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 8) to base 12\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 28 = 2*g - 3*d, -3*d + 12 = 0. Let v(o) = -4*o**2 + o - 4. Let h(f) = -5*f**2 + f - 3. Give g*h(t) + 3*v(t).\nAnswer: 8*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4, -3*t + 1 = -8*t - m. Let v(f) = -f**2 - f - 1. Let b(q) = -2*q**2 - 4*q - 3. Let o(l) = t*b(l) + v(l). Let o(z) = 0. Calculate z.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11999, -23478, -34437, -44870, -54771, -64134, -72953?\nAnswer: -81222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) + sqrt(1470)*-1 + sqrt(30) + (sqrt(210)*3 + sqrt(210))\/sqrt(7))\/((4*-1*sqrt(100))\/(sqrt(640) - sqrt(640)*-1)) + -4.\nAnswer: -4 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m - 51*m + 474 = 17*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 12. Let s be g\/(-14) + 10\/35. Let c = 4 + -4. Sort s, -5, c in ascending order.\nAnswer: -5, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 2*h**2 - 2*h + 1. Let c be s(2). Let m be 0\/((9 + -3)\/c). Suppose 5*g - 61 - 54 = m. List the prime factors of g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -8*t**2 - 8*t - 54. What is z(7)?\nAnswer: -502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9604 + -6826. List the prime factors of z.\nAnswer: 2, 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*j - 591, -3*j + q + 591 = 4*q. What is the remainder when j is divided by 109?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5*(sqrt(252)\/sqrt(4) + sqrt(63)))\/((2*sqrt(63))\/sqrt(7)).\nAnswer: -5*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78114 and 3102?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-1 + sqrt(200))*1 + sqrt(200) + (sqrt(200) + 0)*-1 + -2*sqrt(200) + -3 + (sqrt(200) + 2*sqrt(200) - sqrt(200)) + 4 + 1)**2 + 0.\nAnswer: 20*sqrt(2) + 199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o + 19*o + 0*o**3 + 3*o**3 - 18*o**2 - 2*o**3 - 39. Let t be c(17). Suppose -t = x - 60. What is the remainder when x is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171878560 rounded to the nearest one hundred thousand?\nAnswer: 171900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8059.\nAnswer: 8059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6156 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -344 - -339. Let i(t) = t**3 - t**2 + t + 1. Let a(q) = 15*q**3 - 5*q**2 + 5*q + 5. Determine y*i(h) + a(h).\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -19*n**3 - n**2 + 4*n - 5. Determine m(2).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 98157\/16 - 6131. Find the common denominator of -45\/4 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2926767, -3, 2, 5, -1, 1.\nAnswer: -3, -1, 1, 2, 5, 2926767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*s - 102*s - 20845 = 115*s - 10*s for s.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28.12 - -28.12. Let y = -0.8 + 0.87. What is the nearest to o in y, -3, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 + 60*j**2 + 205*j + 210.\nAnswer: 5*(j + 2)*(j + 3)*(j + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -5186, -11 in decreasing order.\nAnswer: 1, -1, -11, -5186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 17*n**4 - 7*n**3 + 41*n**2 + 7. Let f(z) = 9*z**4 - 4*z**3 + 20*z**2 + 4. Let a(v) = 7*f(v) - 4*q(v). Find the third derivative of a(k) wrt k.\nAnswer: -120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 678 is divided by 70?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 2*h**3\/21 - h**2\/7 - 4*h\/7 + 11. Determine f so that u(f) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2. Let k(y) = 15*y + 86 + 2*y - 86. Calculate k(b(a)).\nAnswer: -17*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -563*r - 6. Let z(j) = 80*j - 2. Determine g(z(n)).\nAnswer: -45040*n + 1120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 188*d - 3609. Calculate the remainder when l(-134) is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 10034235*o. Let r(w) = 87*w. Determine c(r(i)).\nAnswer: 872978445*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 141\/(-2)*(-2)\/(-3). Put 0, h, 4 in ascending order.\nAnswer: h, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 603*a = -21069 - 10287 for a.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7602253537040 - -0.4.\nAnswer: -7602253537039.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*3\/(-2)*(-29)\/(-29). What is the fourth biggest value in -1, 0, f, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z**3 + 3*z**2 + 22*z**3 - 9*z**3 - 1 - 5*z**3 - 6*z**3 + 101*z in the form p*z**3 + m*z**2 + g*z + o and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 2*c**3\/3 - 370*c**2 - 742*c - 2926. Factor x(w).\nAnswer: 2*(w - 371)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -288 less than -284?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1017005.6 rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -5*y**4\/6 + 8*y**3\/3 + 19*y**2. Let r be m(2). Let q = 7 - r. Calculate the remainder when 59 is divided by q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 5*x. Let z be (-39)\/(-6) + 2\/(-4). Let m(b) = b**2 + z - 6. Give r(m(d)).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 11*b - 13*b)*(-5 + 0 + 3).\nAnswer: 4*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (28\/98)\/(1\/7). Suppose -2*n = 4*f + d*n - 4, -4*f - 3*n + 6 = 0. What is the second derivative of 0*v - 11*v + 11*v**f + v wrt v?\nAnswer: 66*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**5 - 14012*b**4 - 84118*b**3 - 182288*b**2 - 168280*b - 56096 = 0.\nAnswer: -2, -1, 7012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (154\/9317)\/((-288)\/(-396))\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, h: 3, i: 5}. What is prob of picking 3 h and 1 o?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427920 is divided by 1054?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 724052 and 1296484?\nAnswer: 1764514724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2 - 16*r**4 - 2*r**3 - 6 + 9*r**4 wrt r.\nAnswer: -28*r**3 - 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 0 = -21. Let y(a) = -a**3 - 2*a**2 + 2*a - 2. Let n be y(l). Let q be (n\/1)\/((-492)\/24). Is q at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*k + 668 = -562 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -5*l - 80, -2*k = 3*l - k + 60. Let g = l + 16. Suppose 0 = q - 2*w + 3, 20 = -5*q + w + 4*w. Which is the smallest value? (a) g (b) q (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 48 - 18. Let b = -57 + 282\/5. What is the common denominator of (12\/12)\/(w\/122) and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 6*a + 2 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-2\/5))**31)**(4\/23))**(7\/6) assuming v is positive.\nAnswer: v**(434\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*-1*(9 + 3). Let s = h + 37. Calculate the greatest common factor of s and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(396) - sqrt(11)) - (sqrt(11) + 0 + sqrt(275))**2.\nAnswer: -396 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*z - z**3 + 4*z - 12*z**3 - z**3 + 4 - 4 + (3 - 2 + 1)*(2*z**3 - z**3 + z**3) in the form j*z**3 + i*z + b*z**2 + w and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v - 1. Let i be k(3). Let q be i\/((-5)\/((-70)\/(-4))). Let y = q - -9. Put -3, -4, y in increasing order.\nAnswer: -4, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2738*z**4 + 180264*z**3 - 782680*z**2 + 1046400*z - 448000 = 0.\nAnswer: -70, 40\/37, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3977194 - 71561665\/18. Let w = 1547 - o. Find the common denominator of w and -21\/128.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, -2, 42.1, 2 in decreasing order.\nAnswer: 42.1, 2, -2, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*z + 9 = 7*q, 0 = -3*q + 2*z - 6. Which is greater: q or -15.76?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/4 of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*r + 27 = 155*r + 3*b, 2*b = -3*r + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257 - 353 - 442 + 77*n.\nAnswer: 77*n - 538","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1419288713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j + 62. Let b(g) = -g - 25. Let w(t) = -12*b(t) - 5*p(t). Let h(y) = -4*y + 6. Let r be h(-6). List the prime factors of w(r).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13974 is divided by 74?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 15*a + 64 = 0. Let x = -3 + 2. Is x <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from 0.1149502.\nAnswer: -0.3850498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -23760.32981 to the nearest 10.\nAnswer: -23760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a week in minutes?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**5 - 6*i**4 - 123*i**3 + 126*i**2.\nAnswer: 3*i**2*(i - 7)*(i - 1)*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 167, 82, -107 in descending order.\nAnswer: 167, 82, -1, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 69762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 equal to -3\/712?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 221120022 (base 3) to base 5\nAnswer: 1044023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 6*s + 2. Let i(j) = 14*j - 13. Let h be i(3). Let r be d(h). What is the greatest common divisor of 22 and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111010110 (base 2) to base 6.\nAnswer: -2102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10775 is divided by 44.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230*v - 232 = 228*v - 3*h, -5*v = 2*h - 602. Solve -23*n = -39 - v for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5454185869 a multiple of 955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 8*x + 0*x)*(-7*x + 7*x - 4*x**4) + (2*x + x**2 - 2*x)*(7*x**3 - x**3 - 2*x**3).\nAnswer: 32*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*l - 35 - 27 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -16310\nAnswer: 6524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 52*w - 2084. Let y be j(40). Put y, -3\/7, -6\/41 in increasing order.\nAnswer: y, -3\/7, -6\/41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 - 29. Let j be (52\/20 + f)\/(4\/(-100)). What is the greatest common divisor of j and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12015 and 567.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 13*p + 13. Let i be o(14). Suppose x = -x. Let m be -6 + 3 + -1 + x. Put 0, 4, i, m in descending order.\nAnswer: 4, 0, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -z**4\/12 + z**2 - 22. Let s(x) = -270*x. Give s(h(a)).\nAnswer: 540*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29757695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 6*f**2 + 10*f - 3. Let o be q(1). Solve o = -4*a - 0*l + l - 21, -3*l + 8 = -a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4094006 divided by 107737?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**3*r**2 + 1114*b**3*r - 1735*b*r**2 - 4*r**2 - r wrt r.\nAnswer: -4*b**3 - 3470*b - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = z + 275. What is the remainder when z is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26450 (base 7) in base 4?\nAnswer: -1232303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 - -86. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/2 and -1 - (-4)\/6 - 1555\/330.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*3\/(-6)*(-15 + 20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*p = -18, -4*p + 77 - 13 = 2*c. Let g be 24\/(-2)*(-9)\/27. Solve 4*l = 4*q - c, g*l - q = -0*q - 13 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 2*k - 5*k)*(0 + 0 - 3*k)*(-1217 - 1217 - 10*k + 2438).\nAnswer: -30*k**3 + 12*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2132011 (base 5) to base 14.\nAnswer: d438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 118823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8 + -0.5. Let h(z) = 3*z + 31. Let i be h(-11). Sort 3\/7, q, i in descending order.\nAnswer: 3\/7, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 13*d - 12*d + 6 = -23*d, p + 22*d + 149 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 193470 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 91*s**5 - 84*s**5 - s**4 - s**4 + (s**3 + 2*s**2 - 2*s**2)*(-2*s**2 + 3*s**2 - 2*s**2).\nAnswer: 6*s**5 - 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.182 - -6.818. What is the nearest to 0.2 in -0.2, 0.2, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.028? (a) -0.8 (b) -1\/4 (c) -98 (d) -9 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 433.865 + -433. Let f = n + 0.135. Which is the closest to 1\/5? (a) -4 (b) -3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 82.64 + -5.64. Does -2 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1320 and 528.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7091*c*h**2*w + 29999*c*w + 7*h**4 - h**2*w + 6*w wrt h?\nAnswer: -14182*c*h*w + 28*h**3 - 2*h*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of 0 - 1\/5*k**5 + 3\/8*k**4 + 0*k + 8*k**2 - 3\/40*k**6 - 1\/4*k**3 + 9\/140*k**7. Determine y, given that l(y) = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -121 - (1 - (-18)\/(-3)). Is -115 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 2*t + 22 = -14, -b = -3*t + 8 for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 8*n**2 - 8*n - 6. Let i be y(9). Let b = -50 + 45. Put 0, b, i in descending order.\nAnswer: i, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 551 and 1827?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/24200 and -133\/7541600.\nAnswer: 82957600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*w + 441 = 135. Solve -w = -3*u + 6 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 4*s - 31, 4*c = -13*s + 10*s + 32 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1150 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (200 - 398 - 42*w**2 + 197)*(0*w + 8*w + 0*w).\nAnswer: -336*w**3 - 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 27*q**2 - 13*q - 6. Let k be x(26). Suppose -3*u - 2*j + k = -238, -j + 380 = 2*u. What are the prime factors of u?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 494?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11828387?\nAnswer: 71, 166597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/44424060 and 31\/121230.\nAnswer: 399816540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (42\/(-9) - -4)\/(6\/(-27)). What are the prime factors of ((-1 - -2) + -2)*(o - 109)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 0*m - m + 32 = 0 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3161085437?\nAnswer: 23473, 134669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105, 104, 103, 102, 101?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**19*d*d*d*d**9*d\/d**(-2\/5)*d*d**(-11))**(-30) assuming d is positive.\nAnswer: d**(-672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 459600000 to the nearest 1000000.\nAnswer: 460000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fgg when three letters picked without replacement from {g: 2, s: 6, q: 3, f: 8}.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t - 27. Let n be q(-11). Let d(m) = -m + 4. What is d(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 394*y + 399. Let x be j(-1). Solve i - x*i + 5*r = 41, 0 = -i + 5*r - 29 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-12)\/g)\/(g\/(g*g**(3\/7)*g)))\/(g**(1\/2))**(-31))**(1\/19) assuming g is positive.\nAnswer: g**(69\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4039 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2051 * 380\nAnswer: -779380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 765590?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48064174?\nAnswer: 2, 47, 317, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 3*x**4 + 0*x)*(-4 + 12 - 1).\nAnswer: -21*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + (3 - 3)\/(-3). Let t = a + 14. What is the greatest common divisor of t and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2340*l - 2705*l + 18539*l - 698*l.\nAnswer: 17476*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/((-16120)\/(-558))*4\/(-6).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of 1\/6*c**4 - 1\/20*c**5 + 0 + 0*c**2 + 0*c**3 - 3*c. Find the third derivative of w(o) wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 231, 466, 721, 1002, 1315, 1666, 2061?\nAnswer: 2506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 425.8 and 2599.\nAnswer: 1106654.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3. Let w(g) = -21*g**2 - 8*g + 21. Let o(n) = 13*n**2 + 5*n - 15. Let j(y) = -8*o(y) - 5*w(y). Let t = -34 + 23. Calculate t*v(s) - 2*j(s).\nAnswer: -2*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-558)\/(-84))\/31)\/(18\/147).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 3. What is the remainder when p is divided by (24\/(-18))\/((-4)\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -91*i**3 + i**2 - 1. Let l be v(-1). Suppose 0*x = a + 2*x - 14, 3*x - l = -5*a. Calculate the greatest common factor of 160 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5510 - 5070 - 6273 = 887*s for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-19346)\/(-182) + (-2)\/13. Let i = 106 - y. Let p be 2 + -3*4\/6. Is i greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/62 or 710\/1201?\nAnswer: 710\/1201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + (8\/108 - -3). Put 0.2, 3, -2\/3, u in descending order.\nAnswer: 3, 0.2, u, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-2 + 3 + -26)*(-138 - -137)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*1\/22)\/(49200\/6600).\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.34 + -0.06. Let t = 6 + -4. Suppose 3 = t*j - 1. Which is the nearest to 0? (a) x (b) j (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4)\/((-40)\/45)*102?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*q = 55*q - 26. What is the third derivative of 1090*p**2 - 55*p**3 - 1235*p**2 + q*p**3 wrt p?\nAnswer: -318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 16b?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(55) + (1*sqrt(6655) - sqrt(6655)))\/(sqrt(605) - (sqrt(605) - (sqrt(605) - (sqrt(605) - (sqrt(605) + sqrt(605)*-2))))).\nAnswer: -1 - sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, 2\/7, -3, -4\/7, -2\/9 in descending order.\nAnswer: 2\/7, -2\/9, -4\/7, -5\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f + 2. Let d be b(2). Suppose 5*k = y - 9, 2*k + 2*y = -2*k + d. Suppose -5*o = -5*s, -5*o = 3*s + s + 45. Put -3, 5, o, k in descending order.\nAnswer: 5, k, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 806.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 852614925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 (base 7) in base 4?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**2 + 54*y - 88*y + 57*y - 19*y = 0?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 0.208.\nAnswer: -1.208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/3, -0.03, -1, 1.2, 3\/2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -102978 and 0.5.\nAnswer: -51489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, 0, -2\/37, 4 in descending order.\nAnswer: 4, 3\/8, 0, -2\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 51*q = 9633. Let c = q - -273. Solve -3*p - c = 5*s, 14 = -3*p - 4*s + 2*s for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -18371, -18010, -17409, -16568?\n\"Answer: 120*s**2 + s - 18492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(13) + 1 + sqrt(13) + -2).\nAnswer: -4*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 240650681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/14 and 87\/80.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -x + 3*o - 3, 4*x + o - 53 = 0. What is the greatest common divisor of 1 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -54002, -108027, -162052, -216077, -270102?\n\"Answer: -54025*u + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 145258571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 104 + -76. Suppose -2*y - 71 = -5*w, y - 6*y - f = -w. Suppose -4*j = 2*u - 34, 4*u + 4*j - 43 = w. What is the smallest common multiple of 10 and u?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -67293 + -80?\nAnswer: -67373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -322 - -322. Solve 5*y - 1 = -2*x, a*x = 4*y + 5*x - 11 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -1. Suppose 0 = -k - 7 + 9. Sort o, k, -2 in increasing order.\nAnswer: -2, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*d - 16*d. Which is the closest to 0.3? (a) 7 (b) 4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274955.6 kilometers in centimeters?\nAnswer: 27495560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 96691249?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + r = 12. Let j be r + -1*3\/3. Solve -4*y - 2*o = o - 15, 5*y - 20 = -j*o for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 530*w + 3540 = 1238*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - n**2 + n + 12. Let f be c(0). Suppose 3*j = f + 261. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3731?\nAnswer: 7, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -2*k + 2*t + 234, 3*k + 4*t - 337 = 0. Suppose -4*b = -0*b - 5*p - k, 2*p - 94 = -4*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 3\/10 (b) -0.4 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*(-8)\/(-224)*-14.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (3 - 0) - (-99)\/18\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4524646?\nAnswer: 2, 7, 79, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, l: 3, i: 2, q: 4}. Give prob of picking 1 z, 2 q, and 1 l.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 9*n - 26. Determine w(-4).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 316 - 315. Suppose o + 17 = -o + 5*j, 3*j = 5*o + 14. Which is the nearest to o? (a) 2 (b) -0.6 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(-1125)*((-40)\/18)\/((-14)\/(-21)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/sqrt(288) + 1 + 5)**2*3.\nAnswer: 6*sqrt(19) + 1315\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.108498 - -0.02158. What is l rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1390093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -264 - -396. Round d to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0602087 times 0.104?\nAnswer: 0.0062617048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8000 and 496.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003197 to seven decimal places.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00303915433 to 7 decimal places.\nAnswer: 0.0030392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of 5*h**3\/6 + h**2\/2 - 4*h. Let j be z(4). Find the third derivative of -v**6 - 21*v**3 - 5*v**2 + j*v**3 wrt v.\nAnswer: -120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyssysyyysysy. Give prob of sequence yys.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-14))\/((-3717)\/177)*-30\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*y + 77*y - 39*y + 36. Put 13, -5, y in increasing order.\nAnswer: -5, 13, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 3 + 2)*(212 - 209 - 2*f - 2*f).\nAnswer: -60*f + 45","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*j + 14778 = 1722. Suppose -116 = -g - 3*g + 4*q, 4*g = 3*q + 121. Calculate the highest common factor of j and g.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 918036 times 0.2?\nAnswer: 183607.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 2:58 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4858 is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-6) - 48\/(-18). Suppose t = f*t. Solve 3*d + u = -t*d + 14, -3 = -d - 2*u for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 7 + (-9 + -5 + 7 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 13 + 4 = 4*a, 0 = -5*a - 3*c + 9. Let n be (4\/(-518))\/(10*(-45)\/(-1050)). Is a equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4436711.962630838 - -4435846.96263. Let t = 865 + a. What is t rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -6*s**3 - 8*s**2 - 25*s + 4. Let v(t) = -t**3 - 2*t**2 - 5*t + 1. Let h(x) = -2*l(x) + 11*v(x). Determine h(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.09, 0.5, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002318508735 to four decimal places.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3006*t**2 + 6*t - 5*t + 0*t.\nAnswer: 3006*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*t + 129287 - 387873 + 129300 + 129286.\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 3 - 2*j)*(1 + 1 - 1) - 759 - 83*j + 759 - 3 + 2*j + 3)*(-1 + 0 + 3) to the form v*j + x and give v.\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + (-12)\/(-3))\/((-112)\/(-40)). Let k = 0.02 - -0.04. Let s = 1.06 - k. Which is bigger: h or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -3. Let p be ((-7)\/(-21))\/(2\/m). Factor -p*g**3 + 1\/2*g**2 + 0*g + 0.\nAnswer: -g**2*(g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2150*d**2 - 5*d + 21. Let k(s) = 2151*s**2 - 4*s + 17. What is 5*k(z) - 4*p(z)?\nAnswer: 2155*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2\/5 - 21196*g\/5.\nAnswer: -4*g*(g + 5299)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + u + 3, -2*u = 3*s - u + 3. Suppose -3*i + d + 6 = s, i - 6 = -2*i + 3*d. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -107411, -107408, -107393, -107360, -107303?\n\"Answer: n**3 - 4*n - 107408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -3. Let i = -68\/3 + 878\/39. Which is the nearest to 0.1? (a) f (b) 3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26355 and 1485.\nAnswer: 2609145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (110\/10)\/(-55) + (-42)\/(-10). Suppose 5*v + 404 = 3*j + 82, 767 = 7*j + q*v. What is the least common multiple of 8 and j?\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304\/57 - 5 - 17\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3122311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276624934.\nAnswer: 2, 43, 3216569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**4\/3 + 575*f**3\/3 - 2513*f**2 - 3519851*f\/3 - 95116258\/3 = 0?\nAnswer: -578, -43, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1501632 = 78*z - 117*z + 66*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {w: 8, b: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-148)\/(-6) - (-3294 - -3313)\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2058562 (base 9) in base 13?\nAnswer: -2c7779","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 4:07 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -122\/2585 - 79\/517. Let m be 1\/(-1 + 2)*1. Put n, m, -0.022, 3\/4 in decreasing order.\nAnswer: m, 3\/4, -0.022, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15d4 (base 15) to base 3\nAnswer: -20110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 25. Suppose s = 6*s, -2*r + 4*s + a = 0. Suppose -o + r*o = 15. Solve 0 = -o*h - 2*h + 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 4552884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -3*b**2 + 49893*b - 946884 = 0.\nAnswer: 19, 16612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67140.3 years to millennia.\nAnswer: 67.1403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-30)\/(-12)*6 + 5 and 22 + (0 - (-2)\/(-1))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g - h + 6, -5*g - 392*h = -396*h - 30 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*w, w + 3*w = -h + 12. Let d(z) = -z + 2. Suppose 3*j - 1 + 14 = p, -5*p - 4*j + 27 = 0. Let r be d(p). Sort r, w, -2 in increasing order.\nAnswer: r, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-2) + (-238)\/6. Suppose 16*h - 15*h + 11*h + 456 = 0. Let i = a - h. What is the third biggest value in -1, -2, i, -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 10, -184?\nAnswer: -184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nbn when three letters picked without replacement from bnnbnnnbbnnnnbbb.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -150 - 65. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14.5 + -14. Which is greater: q or -1\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1010091 - 849909 = -3*i. Round i to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**3 + 0*p**3 + 2*p**3)*(-3466 + 1745 + 1721 - 3545*p).\nAnswer: 7090*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of 2*f**7\/21 - f**6\/120 + f**5\/60 - 7*f**3\/2 + 12*f**2. What is the third derivative of a(c) wrt c?\nAnswer: 480*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13.7? (a) -14 (b) 2 (c) -0.41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -2\/5, 1.\nAnswer: -40, -2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -7*v**2 + 13*v - 4570. Give l(-7).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 54 = 24*p. Solve 2*m = -2*g + 2 - 18, p*m + 20 = -3*g for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2686 - 2690. What is the smallest value in 4, o, 5.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/10*2\/4*-1\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 38*g + 945. Calculate w(-56).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 30 + 4 + (-20)\/5. Solve -20 = a*d - 26*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - j = 35 - 69, -4 = 2*j for y.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-8) - -1)*76. Let q be (31 + -27 - (1 + 6)) + 42. Which is smaller: q or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of 13*p**3\/6 - 9*p**2\/2 - p. Let k be (-1 + 8)\/(3\/1 - 2). Calculate the remainder when x(k) is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -0.0506\nAnswer: -0.1518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(12\/2)*2\/12?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 1 - 13. Suppose 0 = -4*f + 8, y*c = 2*c - 2*f + 7. Solve -c*h = -24 + 9 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 16*o**2 + 4*o + 5. Calculate v(16).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h**2 - h**2 - 54 + 54. Let d(s) = -5*s. Give d(a(q)).\nAnswer: 25*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 10*o + 3. Suppose k - 2 = 4*a - 5, -5*k - 34 = -a. Let i be h(k). Let j be (i\/(-20))\/((-2)\/(-10)). Let b(v) = 4*v + 8. Give b(j).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 17*w - 2. Let x be y(6). Suppose -4*s = 2*z - x, 2*s - 5*z - 14 = s. Is s a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k**2 + k - k)*(-2*k + 3*k + 3*k)*(0*k + 0*k + k).\nAnswer: -20*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 219035 + -151851. List the prime factors of r.\nAnswer: 2, 13, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 23 - 0 - (-4 + 3). Let s = n - 33. Let y be 328\/840 + 3\/s. Which is greater: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**3 - 10*o**2 + o + 9. Let i be g(5). Which is the third biggest value? (a) i (b) -1\/2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 8:02 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of 0*o**4 + 0 - o**2 + 0*o**3 + 0*o - 1\/20*o**5. Let g(w) = -3*w. Calculate g(i(l)).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 5850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (42 - -15) + 9 + (7 + -4 - -17)\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 h when three letters picked without replacement from {l: 2, h: 4}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + 29 - (2 - 2 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a meter in centimeters?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjltjjltltjjj. What is prob of picking 2 l?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/19)\/j)\/j**(-3\/11)*j**(-9)*j**(-1\/4) assuming j is positive.\nAnswer: j**(-8429\/836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2915 + -1245. What are the prime factors of u?\nAnswer: 2, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 + -34. Suppose 8*n - c*r = 4*n + 4397, -5*n = 5*r - 5540. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2707124 divided by 1353562?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 - -38. Suppose j*p = 8 + 12. Suppose 2*k + p = 16. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - g - 9, 0*q - 9 = -2*q + 5*g. Suppose -q*u = -0*u - 22. Does 5 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*g = -433*g - 508*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)*-2*-3 + -5*sqrt(192)\/sqrt(4))**2 - ((sqrt(3072) - 2*sqrt(3072))*-3)**2) + -3.\nAnswer: -27603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0344 + -284.9656. Let o = 285.89 + d. What is the nearest to -0.1 in 4, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35\/1517 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.084 (b) 2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69.66 + -69.6595383. What is q rounded to 5 dps?\nAnswer: 0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36918 and 4337865?\nAnswer: 8675730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/10, -1, 0.1, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42594845395 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40176)\/(-96)*(-104)\/(-468).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 4 + 24. Suppose 41 - 25 = 4*x. Suppose -12 = -4*l - x. Solve -12 = -4*p, -l*p = -q*k + 2*k + 9 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -121 - -127. Suppose i*c - 12*c = -43680000. What is c rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ahh when three letters picked without replacement from {h: 2, a: 7, n: 1}.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v\/(v\/(v**(-2)*v)))\/v**10)\/((v*v**(-2\/13))\/((v*v*v**(-2\/5)\/v)\/v)))**(43\/3) assuming v is positive.\nAnswer: v**(-9546\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23660 - 13227. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 93\/(-372) + ((-5)\/12 - 1)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -48739 less than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/27 and 125\/231522?\nAnswer: 2083698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*m + 4, 4 = 3*w + 2*m. Suppose -6*r + w*r - 20 = v, -v - 5 = r. Suppose -3*a - 3*j = -96, v*a - 3*j - 52 = -a. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -2. Let q = j + -1. Suppose w - 3*c - 5 = 2, c = -3*w + q. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 873772710?\nAnswer: 2, 3, 5, 29125757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*s - 126*s - 107*s)*(-7 + 2 - 2 + 3 - 4 - 3 + (3 - 5 + 4)*(-1 - 2 + 4)).\nAnswer: 1710*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -323202 (base 5) in base 3?\nAnswer: -120011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**3 + 2*i**2 - 2*i**2)*(-2*i + 2*i + i) + (0*i - 3*i + 4*i)*(2 - 2 + 2*i**3) - 21*i**4 + 171*i - 171*i.\nAnswer: -17*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110 - 212100?\nAnswer: -220210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/612 and -18\/181169.\nAnswer: 6522084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*n = 28, t - 13 = n - 3*n. Let b = 36 - t. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 75964252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -813\/20 (b) 1\/6 (c) 0 (d) -0.5 (e) 5 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.36, 25, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5968443, -11936915, -17905389, -23873865?\n\"Answer: -d**2 - 5968469*d + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.584268553 rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -4 + (-9 - 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.1781011 + 629.1754711. Let x = -594.9 + -24.1. Let t = x + y. Round t to 4 dps.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t - 7*p + 9*p + 4, p + 4 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**4\/4 - 149*d**3\/4 + 453*d**2\/4 - 455*d\/4 + 38 = 0. Calculate d.\nAnswer: -152, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 2*a - 21*a)*(11 + 2 - 7) - 5*a + 18 - 18.\nAnswer: -125*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 s when two letters picked without replacement from esseqzussssqeu.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/37, 1\/3, 94\/33?\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8891 is divided by 8755.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1224\/109 != -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/4*150\/(-225)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2)*(-239*g + 309*g + 201*g).\nAnswer: 271*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/9)\/(((-15)\/(-54))\/5). Which is greater: 13 or i?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45217 and 412.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 - -53. Suppose 0 = -4*s + f + 14. Calculate the remainder when s is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-15)*3)\/(-5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2. Let c(x) = -4*x + 7. Let r(t) = -4*t + 7. Let q(w) = 3*c(w) - 4*r(w). Let n(s) = 3*s - 5. Let u(h) = -7*n(h) + 5*q(h). Give u(l(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxccy. What is prob of picking 1 y, 1 x, and 2 c?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2889776.\nAnswer: 2, 179, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/7 - 289118*q\/7 + 3758872\/7.\nAnswer: -2*(q - 13)*(q + 144572)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59.641 + 0.359. Put 4\/7, n, 2 in increasing order.\nAnswer: 4\/7, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1171.60218 to 0 decimal places.\nAnswer: 1172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 + 75. Calculate the remainder when 140 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 278\/2191695 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 7*z**2 + 20*z - 16. Let t be o(9). Let k = 16\/7 - t. What is l in 6\/7*l + 4\/7 + k*l**2 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 441?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+26.35\nAnswer: 26.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -255029, -254973, -254915, -254855, -254793?\n\"Answer: p**2 + 53*p - 255083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 16*t + 1. Suppose -3*k + q + 3 = 15, 0 = -k - 4*q + 9. Let s be (k - (-60)\/16)*4. Is c(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 137592871 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (190 - 293) + 9 + (-2 - 0) + 1?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*y = 5*y. Sort 4, -7, y in descending order.\nAnswer: 4, y, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 25.58281 years?\nAnswer: 2.558281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10200110222212 (base 3) to base 7\nAnswer: 22433501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 11) to base 16\nAnswer: -f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/15)\/((20\/(-50))\/(-1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17667 and 8229?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -87296, -87180, -87064?\n\"Answer: 116*q - 87412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, r: 1, d: 6, i: 2}. Give prob of picking 1 d and 1 i.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a factor of 438001001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/34 + -42\/17. Let o = 0.22 - 2.12. Let y = -1.4 - o. Put k, y, -5\/6 in decreasing order.\nAnswer: y, -5\/6, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f - 10. Let y be p(-12). Solve y*q = -2*q - 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -5*z + 3. Let g be v(-3). Let y(p) = -p + 38. Let k be y(g). Calculate the greatest common factor of k and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 14666 = -4*s - 1754, -5*s + 16142 = -3*j. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 9. Suppose -15*y = -p*y - 596. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5265 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -l + 58. Let m = 36 - l. Is 13 a factor of (m\/33)\/(1\/(-78))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4283 + -4287. Let g = 4.1 + -3.1. What is the second biggest value in u, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 2 - 4. Let z(x) = -2*x + 24. Let n be z(10). Let w be (1 + u)\/(n\/10). Solve w*p - 2 = 13 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - -3) + 2*(-6)\/(-1). Let k = x + -13. Solve -2*i = -5*c - 16, -k*c = c - i + 9 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.047 * -4207.\nAnswer: -197.729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 109, 124, 149, 190, 253, 344, 469, 634?\n\"Answer: y**3 - y**2 + 11*y + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o - 18. Let r be k(-7). Let h(d) be the second derivative of -r*d**3 + 2*d**3 + 144*d - 191*d. Let s(v) = v**2. Give h(s(u)).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 1. Suppose -g*m = -17 - 138. Is m a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*b**4 - 14*b**4 + 2 + 2*b - 1 + b - 19*b**4 in the form w*b**2 + p + h*b**4 + d*b**3 + g*b and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of z**4\/4 + 2*z**3 + z**2 - 7*z - 4. What is the remainder when 22 is divided by p(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35986158 a multiple of 754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.5 - -3. Let l = 2106\/17 + -11977\/68. Let n = 52 + l. Put 2\/9, h, n in ascending order.\nAnswer: n, 2\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -195.295 - 0.705. Let i = 200 + v. Which is the fourth biggest value? (a) i (b) -2 (c) -3 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 4*a = 1 - 4, 32 = -4*h + 4*a for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, v: 5, b: 4}. What is prob of sequence vvvv?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 + (-72)\/(-20))\/(18\/(-240)). Calculate the greatest common divisor of 1712 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 621.4 + -622.6. What is the nearest to -1\/2 in 3, -9, 1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5799 and -0.3.\nAnswer: -5799.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28777874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1185890 and -2.\nAnswer: 1185888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from uaaauaauaauuoo.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 - (3 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventeen sixths of a day?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 805354*i**4 - 78490*i**2 - 2*i wrt i.\nAnswer: 19328496*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 2:14 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (20\/8)\/(-5). Let k be 2 - 3 - 36\/(-37). Let n = k - 33\/148. Which is the nearest to 0? (a) -0.2 (b) n (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/10 + 40\/(-25)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 4:55 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2 - 9 = 4*z, 1 = -b - 2*z. Let l(h) be the first derivative of h**3\/3 + 3*h**2\/2 - 6*h - 2. What is l(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 14433180.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1610381526 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r - r - 6*r - 2 + (3 - 5 + 1)*(0*r + r + 2*r) in the form s + t*r and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 82*z**2 + 78*z - 416. Let i be y(-83). Put -2, 65, i, 3 in ascending order.\nAnswer: -2, i, 3, 65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*x**4 - 60*x**3 + 6*x**2 - 7 wrt x?\nAnswer: -48*x - 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 322074*l**2 - 123624*l**2 + 322050*l**2.\nAnswer: 520500*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 5*t - t)*(-21*t**2 + 21*t**2 - 5*t**3).\nAnswer: -10*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - 3. Let y = -760 + 5316\/7. Which is the third biggest value? (a) y (b) 0.5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - l - 3 + 0*l)*(27*l**2 - 107*l**2 - 122*l**2) in the form p*l**3 + j*l**2 + f + c*l and give j.\nAnswer: -606","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rfkrfpfpdfirpkrrrrp. What is prob of picking 1 r, 2 p, and 1 k?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 35, 33, 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vnmzwwi. Give prob of picking 1 m, 1 v, and 2 w.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 6*g - 9. Give d(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1392 and 6999?\nAnswer: 3247536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 138462.9 months to millennia.\nAnswer: 11.538575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + m**2 - m + 1. Let p(a) = -4*a**3 - 7*a**2 + 3*a - 8. Calculate 3*k(l) + p(l).\nAnswer: -l**3 - 4*l**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 9. Suppose -14*y = 14*y - 8*y. Solve 4*r + f = -y for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014964214 to 7 dps.\nAnswer: -0.0001496","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/28858 and 31\/75522?\nAnswer: 3549534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -15. What is the highest common divisor of 28 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.054, 66, 494.\nAnswer: -0.054, 66, 494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = 4*a - 5*k, -k - 15 = -a + 8. Suppose a = -4*j + 2. Let b be (64\/j)\/(16\/(-24)). Solve n + b = 5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -12 - 2*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6746, -27835, -63262, -113033, -177154?\n\"Answer: -a**3 - 7163*a**2 + 407*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z = -l - 10, -z = -2*l - 0*l + 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -14*x. Let i be s(-1). Let l(j) = -3*j**2 + 43*j - 10. Calculate the remainder when 16 is divided by l(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -19 + 832*(-16)\/(-640). Factor -p*s + 2 - 1\/5*s**2.\nAnswer: -(s - 1)*(s + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6609001097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, m: 9}. What is prob of picking 1 m and 1 q?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -8*g + 6. Let w be a(-2). Is w\/(-77) - ((-6108)\/14 - 1) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 46*y + 18224 - 18132 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (-1 + 3) - 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 203 + -202. Let n(g) = 2*g**3 - g. Let r(x) = -x**2 + x. What is s*n(l) + 3*r(l)?\nAnswer: 2*l**3 - 3*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 11*f - 9. Let u be v(10). What is the remainder when 60 is divided by u + -3 - 0 - -23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/6)\/((-2)\/(-4308)). Suppose 0 = 5*r + 4*q - 19180, -5*q + 19180 = 7*r - 2*r. Let n = z - r. What is n rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*j - x - 529 = -28*j, x - 710 = -4*j. Calculate the least common multiple of 6 and j.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.141146 to zero decimal places.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o - 1. Let v(k) = -15*k - 35. Let s(d) = 2*u(d) + v(d). Differentiate s(r) wrt r.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 250*s*z**4 + 2*s*z**2 + 114*s*z wrt z.\nAnswer: 6000*s*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2 = -2*p + 8, 0 = 3*m - p - 7. Let d = m - -1. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10126 - 10125. Which is greater: c or 27110?\nAnswer: 27110","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3724 is divided by 534.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/10 and (-73)\/14 + (-10 - -12).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*c + 17 + 13. Let o(k) = -k**2 + 2*k + 2. Calculate o(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 506623?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 255349993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 274 + -104. Let m = g + -177. Which is greater: m or -11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/294)\/(0 + (-9)\/(-27)). Do v and -4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17243 and 12030?\nAnswer: 517290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*k - 25 = 0. Suppose t - 5*b - k = -0*t, 5*t + 2*b = 17. Put 0, -3, t in decreasing order.\nAnswer: t, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 295*c - 4. Suppose 15*z - 9*z + 12 = 0. Let t be v(z). Is t\/(-4) + (21\/(-6))\/(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-30)\/35)\/((-1)\/7). Let p(w) = -w + 8. Let s be p(h). Suppose y = -2*x + 32, -s*x + 3*x - y = 19. Is 17 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 67247815200479\nAnswer: 67247815200478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 3 = 4*u + u, 3*u + 1 = 4*r for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4*o - 15. Suppose 0*g + s = 2*g - 9, -21 = -2*g - 3*s. Calculate the highest common divisor of o and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 9*p**5 + 3238*p**4 + 46179*p**3 + 101358*p**2 - 24840*p = 0.\nAnswer: -345, -12, -3, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3256 = 13*q. Let a = -177 - q. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 7) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3163566s in nanoseconds?\nAnswer: 316356600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = j - 5*g, g = 15*j - 12*j + 402. Let q = -129 - j. What is the greatest common divisor of q and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6521 + 1486799\/228. Is l at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-3 - -7) + 27 + -32\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/12 (b) -5 (c) 15 (d) 7\/6 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 32 = 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/(h\/h**(-1\/5)))\/h)**(-38))**(-36))**(2\/45) assuming h is positive.\nAnswer: h**(-1824\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 97*m**3 - 289*m**2 - m - 12. Let l be q(3). Factor -44\/3*v + 4\/3*v**l + 32\/3*v**2 - 24.\nAnswer: 4*(v - 2)*(v + 1)*(v + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + (sqrt(171) - (sqrt(171) + (sqrt(171) - sqrt(171)*2))))*5 - sqrt(171))\/(sqrt(54)\/(sqrt(18)\/sqrt(3))).\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -9 (c) -2\/13 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1374827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1601 - -1600.7. Which is the third biggest value? (a) 193 (b) -0.2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*v + 40 = -411 - 389 for v.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 9 (c) -2 (d) -28 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**4)**(-36)\/(a*a\/(a**10\/a))**14 assuming a is positive.\nAnswer: a**(-82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -28.1. Let o = 7 - u. Let i be 14 + -14 + 2\/(-11). Which is the closest to 1? (a) 0.3 (b) i (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/21)\/(27\/42)*-3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -88\/881097 and -30\/44516377?\nAnswer: 934843917","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*y - 8. Let p = -4414 + 4399. What is the units digit of 3\/y - 505\/p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/10 of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 2018 and -20.48022.\nAnswer: 1997.51978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*m**3*p**3 - 111*m*p**3 - 977*p**3 with respect to m.\nAnswer: -33*m**2*p**3 - 111*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 504040 (base 6) in base 10?\nAnswer: 39768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/648 and -85\/56984328.\nAnswer: 512858952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 0*h**2 - 3*h**2)*(34*h - 97*h - 3*h)*(-1 + 0 - 1)*(-6*h + 2*h + 2*h).\nAnswer: 1056*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 882031, 3528168, 7938421, 14112796, 22051299, 31753936, 43220713, 56451636?\nAnswer: 71446711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 648177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 12*u**2 - 13*u - 15. Let d(w) = -w**3 + 4*w**2 - 11. Let x be d(4). Calculate n(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -i**2 + 12*i + 19. Calculate w(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jjjsssjj.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2700619 to the power of 1\/3, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 224087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 42, 278, 876, 2004, 3830, 6522?\n\"Answer: 28*i**3 + 13*i**2 + i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -16. What is the first derivative of -2 + 0 + 6 + 3 - 6*j**s wrt j?\nAnswer: -12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 10:15 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**3 + 8*t**2 + 4*t - 11. Let l(d) = d**2 - 7*d - 2*d + 33*d - 11*d + 25. Let i be l(-10). Is p(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -773847, -773849, -773851, -773853?\n\"Answer: -2*w - 773845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17721 + -4769. List the prime factors of i.\nAnswer: 2, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 544 (base 16) in base 10?\nAnswer: 1348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3528603.\nAnswer: 3, 13, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1007*i**3 - i + 464*i**3 + i.\nAnswer: 1471*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1323317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18498, -18407, -18162, -17685, -16898, -15723, -14082?\nAnswer: -11897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 4*w + 23, 4*w + 50*s - 47*s = -17 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -201656551, -201656540, -201656515, -201656470, -201656399, -201656296, -201656155?\n\"Answer: z**3 + z**2 + z - 201656554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 + -128c?\nAnswer: -1294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 24 = -k, -2*l + 0*k - 9 = -k for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*5)\/((sqrt(10) + sqrt(360))*3).\nAnswer: 5*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 58.807 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m = m + 8*m - 98. Which is greater: m or 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 + -9. Factor 37*s - 4 - 11 - 25*s - k*s + 3*s**2.\nAnswer: 3*(s - 5)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1781188 is divided by 53975?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 939, 940, 941?\n\"Answer: y + 938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 3:52 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1595 and 1100.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 224254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 155.6 + 0.2.\nAnswer: 155.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29924093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8412714 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29663190691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a**3 + 12*a**2 - 40*a + 19. Give b(7).\nAnswer: -702","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 47*(-8)\/(-2) + 2. Let w be (-1 - 1)*(-4)\/4. Suppose -w*s + g = 20. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -m**3 - 2 - 5 - 3*m**4 + 4. Factor u(k).\nAnswer: -3*k**2*(4*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26 - 42 + 31)*(0*n + n + 2*n + (1 - 2 - 1)*(-5*n + 2*n + n)) to the form x*n + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 14 (b) -0.11 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31\/(93\/(-90))*((-3)\/(-15))\/(1\/15)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(700) - sqrt(700)) + sqrt(700) - sqrt(700)) + -4 + 1 + (sqrt(77)\/(sqrt(44) + sqrt(11)) - sqrt(7)))**2*-3.\nAnswer: -23629\/3 + 348*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 2, -155, -3, 0.\nAnswer: -155, -3, 0, 2, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-5 + 1 + 3)*(-8 + 8 + 6*y**2) + (y - 5*y + 6*y)*(0*y + 0*y + y))*(-7*y**2 + 7*y**2 + 11*y**2) as g*y**2 + s*y + x*y**3 + a*y**4 + o and give a.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 7 + 28. Let h(q) = 58*q - 25. Let k(o) = -115*o + 51. Let v(x) = -13*h(x) - 6*k(x). Is v(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 118 + -117.6. Sort -4, -1\/11, y in descending order.\nAnswer: y, -1\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 187*z - 1867. Let d be t(10). Calculate the highest common divisor of d and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-5 + 152 - 77)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 560393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mo when two letters picked without replacement from {o: 1, m: 1, n: 1, k: 2, z: 4}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -0.0465 (c) -8\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 96*q**5 - 253*q**5 + 49*q**5 - 254*q**5 + q**5 + 0*q**5 - 2*q**5 + (-2*q**3 - q**3 + 5*q**3)*(0*q**2 - 2*q**2 + q**2) - q**5 + q**5 - 2*q**5.\nAnswer: -367*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -89.98 * -13.5\nAnswer: 1214.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 4*s - 201352, 5*s - 3*z - 232840 - 18874 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 48?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -279.47 rounded to the nearest integer?\nAnswer: -279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -28 + 21 - ((-2 - 2) + 7)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 351 a factor of 160636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 102*i**2 - 2434*i - 46. What is k(20)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26787186565 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnvnnnvnnnn. Give prob of sequence nnnn.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -578*p - 78 = -565*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -7*y + 15. Suppose -2*m = -2*d + 260, 620 = y*d + 3*m + 2*m. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17 + b06?\nAnswer: b20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -4 (b) 33 (c) -8 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -5 + -6 + 0 + (-139 - -142)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -144885 by 15.\nAnswer: -9659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3635 = 55*h - 60*h, h = r + 725. Solve h = 7*a + 698 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 47? (a) -2\/9 (b) 2 (c) 4 (d) -11.59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -117, -440, -1007, -1854, -3017?\n\"Answer: -6*a**3 - 86*a**2 - 23*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u**3 + 2*u**2 + 1726*u + 5. Let q(r) = 22*r**3 + 9*r**2 + 6902*r + 22. Give 18*p(i) - 4*q(i).\nAnswer: 2*i**3 + 3460*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19\/9 + -68\/45. Are -0.05 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2 = -7. Suppose 3*r - 3*w - 90 = 0, -3*r + 5*w - 165 = -7*r. What is the highest common divisor of r and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - 2*(sqrt(11) + sqrt(44) + sqrt(11)))**2 - sqrt(11))*6 - (6*sqrt(99)*2)\/sqrt(9).\nAnswer: -18*sqrt(11) + 3234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 19c + 166?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 131878, 131829, 131780?\n\"Answer: -49*x + 131927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15450287?\nAnswer: 19, 43, 18911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u - 6*u - 34*u)*(0*u - u + 0*u)*(7*u - 16*u - 16*u) + 2*u**3 - 2 + 2 to n*u + g*u**2 + s + m*u**3 and give m.\nAnswer: -948","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/(-8))\/3*-6*(-72)\/54?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -161, -308, -497, -728?\nAnswer: -1001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**4 - 545*d**3 + 10945*d**2 - 64375*d + 89250 = 0. What is d?\nAnswer: 2, 7, 15, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1224 - -4865. What are the prime factors of g?\nAnswer: 6089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128089737.\nAnswer: 3, 23, 31, 19961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2654 (base 10) to base 16\nAnswer: a5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, v: 6}. Give prob of picking 1 u and 3 v.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (293 - 179 + 293)*(66*b - 2*b - 4*b + 46*b)*(3*b - 3*b - 2*b) to the form s*b + i*b**2 + f and give i.\nAnswer: -86284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jpppjjjhjhtjjhjhspj. Give prob of picking 1 t and 3 p.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2358, 4602, 6750, 8802, 10758, 12618?\n\"Answer: -48*d**2 + 2388*d + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tlkkljtlccllljtjjk. Give prob of sequence lctk.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 55 = -16*g. Are g and -3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 3*m - 9, 4*g = -5*m + 47 + 2. Let p = -2 - -3. Let o be g + (-3)\/p - -8. Calculate the greatest common divisor of 121 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 187.7 + -230. Let p = 41 + r. Is p at most as big as -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d + 2*d - 3*d + 10*d - 6*d + 4. Give m(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13.92651kg?\nAnswer: 13926510000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -5*g**3\/2 - 5*g**2\/2 - 260*g - 2. Determine p(-4).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*h - 2*g, 10*g = 2*h + 5*g - 51. Which is bigger: h or 11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -o**7\/5040 + o**6\/240 + o**5\/30 - o**2. Let z(x) be the third derivative of r(x). What is the derivative of z(m) wrt m?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 66, 41, 8, -33?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -92708 divided by 1\nAnswer: -92708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r - 8. Let d(s) = -s**3 + 15*s**2 - 14*s - 3. Let j be d(14). Let t be z(j). Let i be t\/(-54)*((-39)\/(-48) - 1). Which is bigger: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 + 3*j - 3*j)*(-13 - 139*j + 23 - 8).\nAnswer: 417*j**3 - 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 153 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10602 or 249?\nAnswer: 249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/186 and -17\/365553.\nAnswer: 22664286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {l: 2, k: 1, d: 1, p: 1, m: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 83*o - 7 + 6 + 9.\nAnswer: -83*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 2*h = -10, -161*h = 3*v - 164*h + 27 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2606413499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 3*h + 11 = 2, 3*q + 5*h - 17 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 + 71\/2. Suppose 2*d + 7 = -5*t - 0, 2*t + 6 = 0. Let p be 4 + d\/(-4)*3. Sort m, p, 0 in ascending order.\nAnswer: m, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 1)*27\/(-18) - 1. Let j(b) = 21 + 15*b**2 - 36 - 11*b + 6*b**t + 15*b**2. Is j(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 9 - 15 = -5*i, 16 = -5*s - i. Which is the biggest value? (a) s (b) -3 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*y**4 + 184*y**3 + 882*y**2 + 324*y.\nAnswer: 2*y*(y + 9)**2*(5*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -11. Suppose 9*b - 12*b = -3. Sort j, -1, b in descending order.\nAnswer: b, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7593456 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 5:23 PM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 12. Let k = -1 - -5. What is the nearest to -2\/5 in k, h, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**2\/2 + 1037*z\/2 + 5764 = 0.\nAnswer: -11, 1048","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -650 or -627?\nAnswer: -627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5547520 divided by -15760.\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 292898947?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of 0 + 11\/60*w**5 - 1\/120*w**6 - 1\/24*w**4 + 2*w**2 + 2*w**3 + w. Determine q(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 20921214 to the power of 1\/3, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 920763945 a multiple of 8901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (143\/14 + -10)*184\/750 and -44\/5.\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 8*g = -24, -51*l + 47*l + 3*g + 4 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10500 and 30?\nAnswer: 10500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3542699095 to the power of 1\/2, to the nearest integer?\nAnswer: 59521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 597145 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 1, -82 in descending order.\nAnswer: 5, 1, -1, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-435)\/(-12)*(-18)\/(-15))\/((-985)\/(-1970))?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251 + 100 = 3*g. Suppose -6*f = f - 91. Calculate the greatest common divisor of g and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179143842.\nAnswer: 2, 3, 41, 821, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fa when two letters picked without replacement from kkfabbbbfbfakkkkk?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16199159849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -200*f - 252. Determine p(-1).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 37\/(24531\/4012).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 561891 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*t + 5*t**4 + 4*t**4 - 10*t**4 + 2*t**2 to d*t**2 + o*t + f*t**3 + p*t**4 + r and give o.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3489626251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t**6*t)\/t*t**(4\/7))\/((t*t**(4\/5)*t)\/t**16) assuming t is positive.\nAnswer: t**(727\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 7*d - 8. Let u be m(-2). Let g be (-1 - (-94)\/88)*-8. Are g and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 0.4, -0.041, 0.2, 1, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 397815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 2936036.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3888 and 1512.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 579.\nAnswer: 11580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 2 (c) 203\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventeen tenths of a milligram?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26266302 and 61863.\nAnswer: 3639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: a54 (base 12) to base 9\nAnswer: 2051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110 + 0?\nAnswer: 11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 21*k - 35. What is x(14)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-2 + 4 - 3)*(-258)\/4644.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 609*n**5 - 100*n**2 - 12*n + 6. Let t(m) = 6700*m**5 - 1100*m**2 - 130*m + 65. Let i(w) = -65*j(w) + 6*t(w). Find the third derivative of i(z) wrt z.\nAnswer: 36900*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41886732?\nAnswer: 2, 3, 857, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.9 and -12291373.\nAnswer: 23353608.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + 1.98667\nAnswer: 2.38667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -1643906 and -1643905 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.972 + -0.848. Let c = z - 0.18. Let l = c - -6.9999999. What is l rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*t - 2908 - 137 = -40*t for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j = 15. What is the remainder when j is divided by ((-3)\/(-6))\/(3 + 105\/(-36))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*i**3*n**3 + 4*i**3*n - 2*i**2*n**4 - i*n**4 + i*n**2 wrt n.\nAnswer: 36*i**3 - 48*i**2*n - 24*i*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 19.7 + -0.014607\nAnswer: 19.685393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/((-3600)\/(-30)))\/((-12)\/6*(-4)\/1464)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 2)*(-18*q**5 - 80*q**4 + 33*q**4 + 19*q**5) + 20*q**5 - 13*q**3 + 13*q**3.\nAnswer: 24*q**5 - 188*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3566323 (base 8) to base 16\nAnswer: -eecd3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-53363)\/238)\/43 + (3 - -2). Which is greater: 326 or t?\nAnswer: 326","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**5 + 30*s**4 - 125*s**3 + 90*s**2.\nAnswer: 5*s**2*(s - 2)*(s - 1)*(s + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88.016 - -3.324. Let b = s - 104.8. Let p = 6.9 + b. Round p to one dp.\nAnswer: -6.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 689\/65 + (-4)\/(-10). Let g(x) = 44 - 13 + 3063*x - 24. Let y be g(h). Round y to the nearest 1000.\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u + 50*u = -180. What is the nearest to 0.1 in 2\/21, -1, u?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - v**2 - v - 1. Let y(z) = 7*z**3 + 4*z**2 + 4*z + 4. What is -4*i(l) - y(l)?\nAnswer: -11*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10763 + -18686486.79.\nAnswer: -18697249.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 220\/(-55) + (10 - 2). Determine z, given that 78*z**4 - 179*z**b + z**2 + 86*z**4 - 10*z**3 - z**2 - 5*z**5 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 8.91.\nAnswer: 8.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 192219051?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.37 - -0.37. What is the second smallest value in y, -3\/7, 0.22?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - o + 1. Let p(c) = -c**3 - 30*c**2 - 37*c + 34. Let z(q) = 5*a(q) - p(q). Is z(-23) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 172936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1125, 0.5, -831 in descending order.\nAnswer: 0.5, -0.1125, -831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = m, -532*m - 2*p = -528*m + 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/2 + ((-243)\/42 - -6). What is the closest to 1 in -474, d, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -7*((-946)\/129)\/((-4)\/(-42)) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d1aa66 (base 15) in base 11?\nAnswer: -569204a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*b - 16*b - 99. Let l = b - 34. Let q be (l\/(-2))\/((-2)\/(-60)). Solve k + 2*k + 10 = -j, -q = -4*j - k for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3 - 1\/2*u - 1\/2*u**2.\nAnswer: -(u - 2)*(u + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 238\/4165 - (165\/(-175))\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 9*s + 6. Let k be i(11). Let d = -18 - k. Let p(f) = -4*f + 3. Let u(z) = z + 1. Let y(o) = d*u(o) - p(o). What is y(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2aae (base 16) to base 8.\nAnswer: 25256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 142950 (base 13) to base 2\nAnswer: 1110111111111111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10710 and 134946?\nAnswer: 674730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(112\/66) + 87\/116. Let x be 6\/(-9) + 16\/6. Let a be (x\/(-3))\/(1\/3). Put 4\/9, c, a in decreasing order.\nAnswer: 4\/9, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1218065 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w - 3*g = 10*w + 12, -8*w - 116*g - 24 = -115*g + 46 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 47996479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*f = 5*f + 4, 0 = 5*y - f. Let l(x) = 5 + x - 3 - 3. Let k(m) = 2*m**2 + 5*m - 8. What is y*k(w) + 6*l(w)?\nAnswer: -2*w**2 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 4)*(s**5 + 2*s**5 - s**5 + 2 - s**5 - 2 + (-2*s**3 + 3*s - 3*s)*(-5*s**2 - s**2 + 4*s**2) - s**5 - 3*s**5 + 5*s**5).\nAnswer: -6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/9 (b) -183 (c) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2221*y - 45 + 41 + 755*y.\nAnswer: -1466*y - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -28. Let m be (-138)\/4 + (-2)\/4. Let w = c - m. Is w a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a gram in milligrams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*k**3 + 3*k**2 + 122*k wrt k.\nAnswer: -42*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3706, 18985, 45842, 84277, 134290, 195881?\nAnswer: 269050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -4. Let x = -1 - u. Suppose k - 1 = -x. Which is smaller: k or -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(637) + sqrt(637) + 0)*-2 + -3)**2.\nAnswer: 392*sqrt(13) + 10241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 = 5*s - 51. Suppose 7*n - 1802 = -s. Suppose -3*o + 2*r = -812, 5*r + n + 11 = o. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4815)\/(-2675))\/((-2)\/(-10))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) 2 (c) 2\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/11)\/k**3*k**(2\/5)\/(k\/(k*k**(-10))))**(3\/11) assuming k is positive.\nAnswer: k**(-2094\/605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 12:01 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 5*w + 91 = c, 0 = 2*c - w - 138. Calculate the remainder when c is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19208.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 201751782 to the power of 1\/2, to the nearest integer?\nAnswer: 14204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120220021 (base 3) in base 6?\nAnswer: 400441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101133001 (base 4) to base 15.\nAnswer: 16347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o - 5*l = 11*o - 125, 3*l - 12 = 0. Put o, -1, 4 in decreasing order.\nAnswer: 4, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*k, -5*r - k = -6*r + 72. Suppose -4*t + j + r = -0*t, 0 = -2*j + 10. Let u = 25 - t. Solve d = 3*g - 3*d - 11, 5 = -u*g + 2*d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 28. Suppose -232 = -3*y + 35. Calculate the remainder when y is divided by t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/8*((-115)\/15 + 5). Suppose 2 = r*g - 2. Suppose 3*c + l + 807 = 0, g*c - 4*l - 30 = -582. What is c rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (28 - 14) - (-7 - (-6 + -13) - -46).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35.96 + -32.96. Which is the third smallest value? (a) k (b) -0.06 (c) -79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4946.\nAnswer: 2, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - 4\/(-4 + 2). Let v(m) = 2*m - 2 - a*m + 2*m. Let h be v(7). What is the closest to -1 in -2\/5, h, -2\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 933 = -3*s - u, -179 = s + 4*u. Let w = -104 - s. List the prime factors of w.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 100256, 100247, 100238, 100229, 100220, 100211?\n\"Answer: -9*x + 100265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2 - 31*q + 86. What is s(10)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(49)*-1)\/sqrt(7)*-3.\nAnswer: -1 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-22) + (-2394)\/22 + (3782 - 3782).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/3695264 and 67\/301164016.\nAnswer: 602328032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*c = -226, 3*g = -g - 4*c - 396. Let v = -78 - g. Solve 5*t - 10*t = v for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, 3\/2, 5, -170, -0.6, 2\/105, 1?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10751 - -73?\nAnswer: 11044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 4*b - 2*q - 4, -q - 7 = -b. Let n be -7*2\/(-7) - b*-1. What is the first derivative of n*y**2 - 30 + 8 + 13 + 23 wrt y?\nAnswer: 28*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 8*t + 4. Let a be w(-3). Let r = 21 + a. Let j be ((-8)\/(-3))\/(r\/15). Solve j*i = -0*i - 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-4) + (-4)\/(-8). Suppose g*m + n = 163, -3*n + 57 = -3*m + 4*m. Suppose 2*k - 5*k + m = 0. Does 18 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -2.4, 12, 0.5, -5 in increasing order.\nAnswer: -5, -2.4, -2\/5, 0.5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 554656734 * 0.1.\nAnswer: 55465673.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -f**4\/6 - f**3 - f**2. Let t(o) = o + 1. Let x be (6\/9)\/((-4)\/(-48)). Suppose -6 = 9*l - x*l. Give l*t(d) - a(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 7*o**2 + 288*o + 2527. Determine u(-36).\nAnswer: 1231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.166 less than -56900?\nAnswer: -56897.834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*x + 188*x = -28*x - 4540 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -51*l**4\/2 + 3*l**3 + 11*l**2 + 3*l + 178. Is f(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3738673, 2\/11, -28?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*j**3*m**2*t - j**3*m*t - 232*j**3*m - 2088*j**2*m**2*t + m*t + 21*m wrt m?\nAnswer: 10*j**3*t - 4176*j**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9484306807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s - 2*s + 5*s - s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 3202bba?\nAnswer: 3202bb9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/97812 and -5\/988.\nAnswer: 97812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 30\/4)*-4. Let q = v - 26. Solve q = k + 2 - 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 4*y + 12. Suppose 0 = -o + 6*o - 25. Let k be x(o). What is the greatest common factor of 21 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, b: 3, d: 2, y: 2}. What is prob of sequence dgyy?\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136 and 597992.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 11 + 23)*(4 + 4 + 0)*(-2*f + 3 - 2 + 3*f)*(10*f - 6*f - f).\nAnswer: 144*f**2 + 144*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -205*a**2 + 386*a**2 - 186*a**2. Let v(c) be the first derivative of -2\/3*c**3 + 1 + 0*c + 0*c**2. What is v(z(g))?\nAnswer: -50*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 8:29 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13111309*r + 25077454*r + 63388929*r.\nAnswer: 75355074*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 207172 and 193280.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*o + 44673 = 91893 - 44446 for o.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -443\/5 and -10 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 1. Let y(c) = -4*c + 4 - 4*c + 6*c - 2. Determine y(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1\/3))\/p*(p*(p\/(p\/(p**5*p)))\/p*p)\/p*p*p**(-3)\/(p\/p**0*p))\/(p**(4\/3)\/p**6*p\/(p\/p**(-1\/4))*p\/p**4) assuming p is positive.\nAnswer: p**(115\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**4\/6 + 475*b**2 - 3*b. Suppose 8*i = 16*i - 9*i. Let p be c(i). Round p to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/6)\/((-6)\/(-81)). Let b be ((-12)\/u)\/((-2)\/(-39)). Suppose 5 = -4*p + b. Solve -p*c - 5*l - 2 = c, 3*l = 6 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2830, -1937, -450, 1631?\nAnswer: 4306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 106625731*s**3 - 157435008*s wrt s?\nAnswer: 639754386*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -101, -309, -0.005 in decreasing order.\nAnswer: -0.005, -101, -309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6334083.\nAnswer: 3, 7, 53, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -14*o + 1. Suppose 8 = 6*j - 16. Let x be (20\/50)\/(j\/(-20)). Calculate k(x).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 4) to base 14\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 - 37. Suppose -k*w - 5*u = -35, 4*u = -3*w + 10 + 24. Solve 0 = -2*m - 2*h + h + 4, 0 = -5*m + 3*h + w for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.5, 450, 2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 11*b - 42 = 0. What is the remainder when (-78)\/(-4)*4\/3 is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*t + 0*t - t)*(0*t**2 + 0*t**2 - 2*t**2) to f*t**3 + h*t**2 + i*t + d and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 5*r + 3. Let x be k(4). Let d be x - -1*(36 + -3). Calculate the greatest common divisor of d and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*y + 25*y + 7*y as s*y + l and give s.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a\/((a**(-2)\/a*a)\/a))*a**7)**(-7)\/(a**(-1)*a*a**(3\/5)*a*(a*a*a\/(a*a*a**7))\/a*a**4*a) assuming a is positive.\nAnswer: a**(-173\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*y - 476*y**3 + 468 - 937 + 466 wrt y.\nAnswer: -2856*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*d + 68 = 0. Let z = d - 13. What is the remainder when 11 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t**2 + 1704*t - 22853. Calculate c(13).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 420 = -5*m, 3*m - 6*m + 2*d + 254 = 0. Let o = -80 + m. Solve -4*t + 2*w = o, -4*t + 3*w - 8 = t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16403*m - 615175 = 418214 for m.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -21*c**4\/4 + 973803*c**3 - 55642713*c**2\/4 + 103215315*c\/2 - 13632192 = 0.\nAnswer: 2\/7, 7, 185472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 18*k - 202. Let b be d(11). Let f be -3 + (-12)\/(-16)*4. Let s(g) = -g + 5. Let h be s(3). Put h, f, b in decreasing order.\nAnswer: h, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2036 + 3?\nAnswer: -2033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -91 in 0, 917, 4\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -465 - 1?\nAnswer: -466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2839*f. Let k(b) = -2667*b + 1276*b + 1393*b. Give a(k(o)).\nAnswer: -5678*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/1)\/(3\/2). Suppose -5*y - 2 = -17. Suppose -2*f - m*t = -26, y*t - 65 = -5*f - 2*t. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 4*f**2 - 16*f - 18. Let q be w(-6). List the prime factors of ((-42)\/(-4))\/(q\/4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4*z**2. Let o(v) = 9*v**2 + 6. Let g(a) = -a**2 - 1. Let r(d) = 6*g(d) + o(d). Give s(r(k)).\nAnswer: -36*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 + 14 + 3)*(-42*t**2 - 84*t**2 - 125*t**2).\nAnswer: 4267*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 1. Let i(k) = 6*k - 5. Give -6*f(m) - i(m).\nAnswer: -6*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00562420144 to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g + 6. Let y be m(-4). Suppose 2*h = 5*b + 20, -4*b - 10 - 6 = y*h. Sort 1, b, -5.\nAnswer: -5, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 + 27. Suppose 5*o + 200 = -2*p - 0*p, c = 3*o + 2*p + 120. Let n = 45 + o. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(4131)*-2 - sqrt(4131))*6 + sqrt(4131))\/(-2*2*sqrt(300)))**2.\nAnswer: 402753\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**5)**0*(b*b**(3\/4)*b)\/b**21 assuming b is positive.\nAnswer: b**(-73\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 r when two letters picked without replacement from {r: 3, h: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365 is divided by ((-72)\/8 + 6)\/(1\/(-39))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/42 and -52\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y**2. Let s(v) = v**2 + 3*v + 4. Let d be s(-4). Suppose -7*c - d = -11*c. Let w(q) = -q**2 - c*q**2 - 4*q**2. Calculate w(b(m)).\nAnswer: -112*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, j: 7, g: 5}. What is prob of picking 1 g and 1 h?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3\/4 + 1265*d**2\/4 + 5165*d\/4 - 6425\/4.\nAnswer: -5*(d - 257)*(d - 1)*(d + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 - -45. Let b be ((-2)\/c + 44\/24)*2. Solve 2*y + 10 = -b*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 185894676 by -198.\nAnswer: -938862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 248 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12422.39 + -12422. Which is the nearest to 20? (a) -2 (b) 4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9554 + 9556 - 19110 - 2*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, d: 2, e: 4, v: 7, p: 1}. What is prob of sequence vp?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*a**2 - 59*a**2 + 117*a**2.\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 312?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*y)*(0*y**2 + 2*y**2 - 3*y**2 + (-3*y - 1 + 1)*(-y + 0 + 0)).\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 853 (b) 9 (c) 8474 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -158975 - -1906597\/12. Let b be (-4)\/(-14) - 1292\/14. Let c = b - m. Put 0, -0.3, c in decreasing order.\nAnswer: 0, c, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.57 + -0.57. Let n = -7.2 - -7. Which is the closest to -2\/9? (a) l (b) n (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (3 - 11) - (-10 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*z + 108*z = 278208. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + 11. Suppose 11*z - 19 - g = 0. Which is the smallest value? (a) -4\/9 (b) z (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19429, 77768, 175013, 311182, 486293?\nAnswer: 700364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2. Let g(l) = -125*l - 1. Give g(f(y)).\nAnswer: -125*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 4)*(4*x - 4*x + 2*x**2 + (3 - x - 3)*(x + 4 - 4) + x**2 + 3*x**2 - 2*x**2).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 4*v - 26, 6*v - 2*n = 2*v + 36. Suppose 4*q + q + 61 = 4*f, 2*f + 2*q - v = 0. What is the remainder when (-2)\/(-2*1\/16) is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -23. Suppose 0 = -4*u - 9 - 7. Let p = -405 + 6077\/15. Which is the closest to j? (a) p (b) u (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.1 + -0.3. Let z = p - -0.2. Let h = -0.38 + 0.08. What is the third smallest value in h, z, 2\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 708 and 9.\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - f. Let d(b) be the first derivative of -b**4\/2 - b**3\/3 - 5*b**2\/2 - 926. Calculate -d(i) + 6*z(i).\nAnswer: 2*i**3 + 7*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -1\/8*y**2 - 1\/4*y + 1 + 1\/12*y**3 + 1\/16*y**4. Solve h(l) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 15.57975m?\nAnswer: 15579750000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*3*1*3\/(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1015162*v**4 + 399131*v**2 wrt v.\nAnswer: 24363888*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 - 32 + 728*l - 726*l as r + o*l and give r.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 777362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 45035041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -48. Which is smaller: -17 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - -19.76.\nAnswer: 19.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/48)\/(12\/(-3) + (-45)\/120).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -24*a**3 + 3*a**2 - 4*a + 2. Let k be q(5). Let r = k + 17573\/6. Find the common denominator of (-19)\/(-76) - 201\/20 and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9510 + -6903. Calculate the highest common divisor of x and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 0*t - 40 = 0. Suppose 5*z + 0*z - t = 0. Let l(i) = -3*i + 6. Let u be l(z). Solve u*q = -2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w - 3*a + 113, -13889*w = -13893*w - 5*a - 89 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -r**5\/80 + r**4\/16 + r**3\/24 - 3*r**2\/8 - 27*r. Factor g(v).\nAnswer: -(v - 3)*(v - 1)*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 161 = 61. Suppose -g*d + 420 = -97*d. What is the highest common divisor of d and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -6*t - 5. Let u be r(-2). Suppose -6*s - 8 = -u*s. Solve 5*v - s = 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g - 2. Let y(c) = -16 + 8 + c**2 + 5*c + 5*c. Let u be y(-11). Calculate r(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 0)\/(-2) - 1. Suppose -2*l - 3*l = n. Which is smaller: 2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v - 5*d - 25, 22*v = 3574*d - 3577*d - 140 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -1\/15*x**7 + 0*x**4 + 0*x**5 - 11\/6*x**3 + 0*x + 0*x**6 - 13*x**2 + 0. Differentiate i(c) with respect to c.\nAnswer: -56*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*((sqrt(11) + -1)*4 + 0 + (sqrt(11) - sqrt(44)\/sqrt(4))) - (sqrt(110)\/(-3*sqrt(10)) - (4 + sqrt(22)\/sqrt(2)))) + -5)**2*1.\nAnswer: -704*sqrt(11)\/3 + 12353\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2 = -2*o, 5*n - 5*o - 20 = 0. Let q(h) = n*h - 2 + 0 - 3*h. Let u = -80 + 85. Give q(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 0.323.\nAnswer: 0.0646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 74, -2, -10, 3, -0.1, 0?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -428188*c - 856379. Determine t(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -0*u - 4. Let q(p) be the third derivative of -1\/24*p**4 + 0*p**3 + 0 - 2*p**u + 0*p. Let k(b) = 3*b**2. Determine k(q(v)).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*z + 165138 = 147*z. Does 25 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 81*z**2 - 239*z + 393. Let c be n(78). Solve 11 = c*d + 23, 2*m = 4*d + 12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/10*710\/4*(-4)\/2\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dppzdplpp. What is prob of picking 1 z and 1 p?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -134 - -351. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/45 - 10\/(-12). What is the closest to j in -2\/3, 2\/9, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j - 23. Let z(n) = -2*n - 2521. Determine z(h(o)).\nAnswer: 8*o - 2475","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -19\/5*f**3 - 140 + 3\/10*f**4 + 36\/5*f**2 + 0*f. Factor q(z).\nAnswer: 3*z*(z - 8)*(2*z - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 4*c**4 - 80*c**3 - 48*c**2 + 896*c + 1280 = 0.\nAnswer: -2, 4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 9 (c) -16533\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*i + k - 5*k, 5*k = -15. Let f = 123 + -122. Put f, i, -3 in descending order.\nAnswer: i, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 9*p + 4. Let z be a(9). Let i = z - 6. Does 10 divide (-1 - -2) + (-74)\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77514314 to the nearest integer?\nAnswer: 8804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55243500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 (base 10) in base 3?\nAnswer: -2222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u + 2*u + 0*u + (-6 + 1 + 3)*(-3*u - 2*u + 6*u) - 2*u + 2*u - 2*u + (-8*u + u + 1 + 5*u)*(-4 - 2 + 2)*(2 + 5 - 1) to the form r + a*u and give a.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, 74, 214, 356, 500, 646?\nAnswer: 794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of 2\/3*c**3 + c**2 - 1\/6*c**4 + 9 + 0*c. Let u(f) = f - 1. Give -6*m(l) - 22*u(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -132, -340, -548, -756, -964, -1172?\n\"Answer: -208*i + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(200) + 3*(sqrt(200) - sqrt(200)*-1) + (0 + sqrt(200) + -4 - sqrt(200)) + sqrt(108)\/(sqrt(42)\/sqrt(112))))**2.\nAnswer: -2624*sqrt(2) + 53856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3fe5c (base 16) to base 14\nAnswer: -6b548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(5 + (sqrt(180) - (-5 + -1 + sqrt(180)))*-3 + 4 + (3 + 0 + sqrt(180) + sqrt(180) - (-2*sqrt(180) + 4))))**2.\nAnswer: -12000*sqrt(5) + 74500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*i + 914, -y + 2*i = -3*i - 290. Find the common denominator of y\/(-30)*(-9)\/2 and -25\/19.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - 4*d + 1. What is r(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5 = m. Let y(v) = v**3 - 8*v**2 - 21*v - 10. Let p be y(10). Let h be (-4*5\/p)\/(2\/10). Is m not equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -608.4 to the nearest ten.\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 83988301 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11277.\nAnswer: 3, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 5*f**2 - f + 6. Let d be b(5). Let j be (0 + -2)*d - -2. Suppose j*o = -o + 49. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -2*v + 3 - 1, 0 = -3*v for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 6160 and 6157 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*d - 0, 4*d - 513 = -g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 1 = 5*g, -5*g = 2*w - 4*w - 1. Suppose w*o - 7*o = 0. Solve -2*p + 3*f - 2 = 5, -p + 5*f - 14 = o for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t + 7. Let w be a(5). Is w + -2 - -1 - -3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j + 45 - 84 + 41. Let a be f(-1). Let v(k) = -k**3 - 7. Let y(g) = 1. Calculate a*v(o) + 21*y(o).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 3*w**2 - 219*w - 258. What is p(-13)?\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*g + 6*g**2 - 28*g - g**2 - 30*g - 91*g.\nAnswer: 5*g**2 - 16*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 26*o**3 + 2*o**2 - 1. Let i be w(1). Let a = i - 21. What is the highest common divisor of 18 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l - l**2 + 2*l + 10 + 3*l - 3. What is the remainder when 53 is divided by n(4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1280, -2577, -3860, -5123, -6360?\n\"Answer: p**3 + p**2 - 1307*p + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -7*y + 2. Let d(s) = -6*s + 2. Let h(q) = 4*d(q) - 3*k(q). Let m = -6 - -4. Give h(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p**3 - p**2 - 4*p. Let b be r(4). Let q(o) = -2*o**2 - 29 + 3*o**2 + b. Is q(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1249 divide 474268266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 a when two letters picked without replacement from qaaqnaauqa?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5*y - 71. Let f be q(16). Suppose f = 11*r - 8*r. Let i(s) = -2 - 5*s**r + 6*s**3 + 7*s**2 - 4 + 9*s + 7. Give i(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19825*k**3 + 1037*k + 22.\nAnswer: 118950*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 41, 53?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((-36)\/6)*-3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22\/15 in 2\/7, -4, 39?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -296 - 559 = -19*x. What is the smallest common multiple of 50 and x?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-4)\/84*-9*(-28)\/1960*10)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -287017*p**2 - 1206*p**3 - 287022*p**2 + 574040*p**2 - 11138*p wrt p?\nAnswer: -7236*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 6*s**2 - 4*s - 5. Does 24 divide z(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*v**2 - 17*v + 10*v - 10*v**2 + 27*v**2 wrt v?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 9. Let s(v) = -1. Calculate -5*s(a) + u(a).\nAnswer: -a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v + 114. Let k(x) = -491*x**2 - 472*x**2 + 903*x**2. Determine k(a(p)).\nAnswer: -240*p**2 - 27360*p - 779760","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 167? (a) 5 (b) 45\/2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -437*a**2*f + 27*f - 16 wrt a.\nAnswer: -874*a*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (307\/((-2377408)\/198))\/((-3)\/(-8)).\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -405, -406, -407, -408, -409, -410?\n\"Answer: -c - 404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5013812.1 and -1.5.\nAnswer: 5013810.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -5. Let h = 0.09 - -0.41. Sort w, 0, h in ascending order.\nAnswer: w, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 2:37 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -3*c + 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/32198 and 73\/702674.\nAnswer: 11945458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 8 + 37 + 96 + -38.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 974383 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/350 and -151\/440510.\nAnswer: 2202550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 6*y. Let h be l(2). Let o = -12 + h. Let g(k) = k**3 + 32. Does 12 divide g(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + a + 1. Let k be y(-2). Suppose 0 = -o + k*o - 20. Let d = o + 17. Calculate the greatest common divisor of d and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1911 and 11921?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10951207 to the nearest integer?\nAnswer: 3309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 + 4)*(55 - 29 + 56)*(2*u + 2*u - 2*u) as w*u + p and give w.\nAnswer: 1148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-33 + (-3685)\/110).\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/4 - 195*i\/2 - 148797\/4.\nAnswer: 3*(i - 297)*(i + 167)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**5 + 18*a**4 + 60*a**3 + 62*a**2 + 21*a.\nAnswer: -a*(a - 21)*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(56)\/sqrt(175) - sqrt(8) - 2*(sqrt(8) + sqrt(64)\/sqrt(8) - sqrt(8))).\nAnswer: -28*sqrt(2)\/5 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 q when two letters picked without replacement from {p: 1, b: 1, j: 1, v: 1, x: 2, q: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 10. Let q = 79 + -71. Let i be 38\/q - v\/28. Solve 3*y = -m - 15, i*y + 7 + 18 = -2*m for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * -631.\nAnswer: -6310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*-4*sqrt(12)\/sqrt(6))**2 + (sqrt(160) - sqrt(160)*1 - sqrt(160))\/sqrt(5).\nAnswer: -4*sqrt(2) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17 + 0?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.0584 + -0.0584. Sort -1\/9, 1\/4, u in ascending order.\nAnswer: -1\/9, 1\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2858\/13 - 220. Let j = 129133 + -129132.9. Which is the nearest to 3\/4? (a) 0.2 (b) p (c) j (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1351\/(-114835))\/((-2)\/(-160)).\nAnswer: -16\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a. Let f(z) be the second derivative of -z**3 - z**2 + 4*z - 11. Give c(f(k)).\nAnswer: -24*k - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 804 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/36*6)\/(1\/2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52992 and 17376.\nAnswer: 9591552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36329 + -9440. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 4*n + n. Let h be 1\/(-6) + 1\/n. Solve 2*z + 2*i = -2, 0 = z - h*i - 4*i + 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 5. Suppose -5*j - 2*n + 19 = -29, -m*j + n = -41. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5749 + -5772.002. Let a = y + 0.002. Let d = a + 23.11. Round d to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t + 3. Suppose -b + 5*b = -20. Let m be d(b). Let x = -11 + m. Solve -4 - 2 = 3*h - v, -3*h = 5*v - x for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rzz when three letters picked without replacement from zzzzrrzz.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -5*d**4 + 50*d**3 - 20*d**2 - 210*d - 135 = 0.\nAnswer: -1, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 1316 = 344. Suppose -5*x + 5*c + h = 0, x = 4*c + 42 + 26. Is 11 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -128004, -250577, -373150, -495723, -618296, -740869?\n\"Answer: -122573*a - 5431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/2 (b) 9 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -7, 3, -94, -1 in descending order.\nAnswer: 26, 3, -1, -7, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g**3 + 7*g**2 - 2*g + 3. Determine z(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(1470))\/(-5*sqrt(24)))**2 - (4 + 4*(sqrt(405) + -2))*3.\nAnswer: -108*sqrt(5) + 681\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 289991452 to the nearest integer?\nAnswer: 17029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 73 + -62 + ((-254)\/36 - (-60)\/(-135))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 465053.5 weeks to hours.\nAnswer: 78128988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*p - 12*p + 166 + 39*p - 7*p - 11*p.\nAnswer: -2*p + 166","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5210220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0104768 to 4 dps.\nAnswer: 0.0105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d + 2*d + 171*d**2 - 96 - 73*d**2 + 96 in the form y*d + i + w*d**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 8*g**3 - 74*g**2 + 83*g - 12. Give o(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -7*a - 15. Let o be q(-9). Let r = -30 - -52. Suppose 0 = 5*l - o - r. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**(2\/17)*s*s)\/(s*(s**(-10\/9)*s)\/s*s))**47\/((s*s\/(s*s*(s*s**(-1)*s)\/s)*s)\/((s**(2\/15)\/s)\/s))**(-34) assuming s is positive.\nAnswer: s**(182192\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 115, 372, 633, 898, 1167, 1440, 1717?\n\"Answer: 2*u**2 + 251*u - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8885 by -5.\nAnswer: -1777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(108) + sqrt(27))\/(sqrt(9) + sqrt(441) + (sqrt(441)*-1 - sqrt(441))).\nAnswer: -5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.0751656 rounded to one decimal place?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -13 - (-2 - 1 - -8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -y**7\/840 - y**6\/90 - y**5\/40 - 5*y**4\/24 + 2*y**3\/3 + 2. Let m(l) be the third derivative of x(l). Is m(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-16)*-2*4\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4824 divided by 2218.\nAnswer: -2412\/1109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p - 376 - 822 - 485 as f + n*p and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/102*-23*42\/(-1288).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 1526 = 4*a, 1903 = -5*a - 6*o + 2*o. Is 9*(-3)\/9*a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 0.4 (c) -4 (d) 8.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 8, -6, -2, 50, -12 in descending order.\nAnswer: 50, 8, -2, -3, -5, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 261\/840763?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -5) + -2 - -2. Suppose m*z = -5*b + 906, 5*b + 10 = -5. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/91? (a) -6 (b) -2\/17 (c) 12\/7 (d) -118\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 - (-2 - -3)*2. Suppose 4*w - 1 = t, 0*t + c*t - 2*w - 67 = 0. Is 23 a factor of 684\/t + 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3396878?\nAnswer: 2, 47, 36137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -73 (b) 7\/3 (c) 2\/17 (d) 0.2 (e) 3 (f) 122 (g) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 14 = -2*x, -5*s + 17*x + 2891 = 2786 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-6))\/((-273)\/13923)*2?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of ((9870\/4)\/15)\/(1\/14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -1\/381209, -1, -1\/11, 2, 0.5?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4872, -5001, -5130, -5259, -5388, -5517?\n\"Answer: -129*b - 4743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 243 + -175. What is the lowest common multiple of 8 and a?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -6*w + 25*w. Let l(x) = 3*x**3 + 5*x**2 + x + 7. Let i(t) = -t + 3 - 4*t**3 - 12 + 1 - 6*t**2. Calculate w*i(m) - 6*l(m).\nAnswer: 2*m**3 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (288\/(-84))\/6 - (-90)\/(-14).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (36 - 16) - 9?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 145155 (base 6) in base 10?\nAnswer: 14111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2. Let j(x) = 2*x + 1. Let w(v) = 2*v + 3. Let f(c) = -3*j(c) + 4*w(c). Calculate f(h(u)).\nAnswer: 4*u**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 244.2 + -244. What is the closest to -1 in -5, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/(-4) - 1\/(-8)*(41 - 39). Sort r, 65, 0, 5.\nAnswer: 0, r, 5, 65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -17*t**2 - 2*t - 10. Let u(o) = 34*o**2 + 5*o + 19. Let p(d) = 5*c(d) + 2*u(d). What is the derivative of p(n) wrt n?\nAnswer: -34*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 805455 and 102645?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 50b + -a41?\nAnswer: -532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 81\/5, 2, 0.3, -2\/727, 1\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71245 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 478462 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468)\/(sqrt(36)*1) - (1 + -1*sqrt(2548)).\nAnswer: -1 + 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of 0*o**4 - 1\/2340*o**6 - 3*o + 0*o**5 + 0 + 0*o**2 + 2\/3*o**3. Let d(a) be the second derivative of v(a). Factor d(b).\nAnswer: -2*b**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ujubuauubbuu. What is prob of sequence aj?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1 (b) 0 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8735.\nAnswer: 5, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/2*4\/26\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -40*q - 25. Give l(4).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -2, -4, -5, 4.\nAnswer: -11, -5, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 142819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -4*h**3 - 3*h**2 - 2*h. Let i be x(-3). Let s = i - 61. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1081*t**3 - 117*t**3 + 518*t**3.\nAnswer: 1482*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 100*c**2 - 106*c + 486. Determine q(101).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-33) + 2\/((-176)\/(-3227032)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -231 - -238. Let f(g) = 2*g**3 + 12*g**2 + u*g**3 - 2 - 4*g**3. Let c(t) = 4*t**3 + 11*t**2 - 2. Give -7*c(s) + 6*f(s).\nAnswer: 2*s**3 - 5*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(3 + -2) + -7 + 15. Let m = 1026\/187 + -84\/17. Let 6\/11*d + m - 6\/11*d**2 - 6\/11*d**k = 0. Calculate d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + y = -10, 5*n + 7*y + 751 - 801 = 0 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17119 or -17134?\nAnswer: -17134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1922864706.\nAnswer: 2, 3, 7, 15260831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -9*v**3 - 126*v**2 + v + 14. Give c(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 1655 = -93. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 0.4 (c) -0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 313*m + 6*k - 100 = 309*m, -m + 74 = 5*k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31*z + 31*z - 83 - 628*z**4 + 693*z**3 - 692*z**3 with respect to z.\nAnswer: -2512*z**3 + 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - -13. Let q = 26 - t. What is the third derivative of -3*x**2 - 11*x**q - 2*x**2 + 10*x**3 wrt x?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3113 (base 6) in base 10?\nAnswer: -693","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17848253530316727 + 17848253436719196.50000013. Let i = u - -93597530. Let c = -0.5 - i. What is c rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 10:28 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**2 + y**2 + y**2)*(y + 0*y + 0*y)*(33*y - 8*y**2 - 33*y + (-4*y - 2*y + 4*y)*(0*y + y + 4*y)).\nAnswer: 54*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2341, -4759, -7177, -9595, -12013, -14431?\nAnswer: -16849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1039?\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*k**2*r**2 + k**2*r + 255*k**2 - 151*r**2 wrt r.\nAnswer: -8*k**2 - 302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21343 + 100505?\nAnswer: 122252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21848*a**3 - 11828*a**3 - 10048*a**3 + 18*a - 18*a.\nAnswer: -28*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*o - 248 = -46*o. Let r = o - -104. Suppose -x + h + 22 = -0*h, -r = -2*x + 3*h. Does 4 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 613 = -4*x + 56*i + 325, 4*x + 44 = -5*i for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1667261.\nAnswer: 103, 16187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4624 = -700*a + 428*a for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -5. Suppose n*s - 6 = 0, -5*s - 56 = -4*p + 34. Suppose 7*j - 442 = -4*m, 137*m + 194 = 139*m - j. Calculate the highest common divisor of p and m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, y: 2, h: 5}. What is prob of sequence ppp?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1525919, 1525905, 1525891, 1525877, 1525863, 1525849?\nAnswer: 1525835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -5*p**4 - 590*p**3 - 16805*p**2 + 35400*p - 18000 = 0.\nAnswer: -60, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(68) + (sqrt(68) - (sqrt(68) - (sqrt(68) - (4 + (sqrt(68) + 1 - sqrt(68)) + sqrt(68)))))**2 + -3)*5*-3*-1.\nAnswer: 120*sqrt(17) + 1320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*r**2 - r**2 - 3*r**2)*(0 - 1 - 1)*(7*r + 0*r - 4*r) + r**3 + r**3 + 0*r**3 + (-r - 5*r + 3*r)*(3 - 3*r**2 - 3))*(4*r - r - 2*r)*(-7 + 2 - 6).\nAnswer: -253*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-10) - 936\/(-45). Suppose 5*i = 4*z - 65, 3*z - i - 14 = v. Calculate the highest common divisor of z and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4*t - 500, -2*n = t + 81 + 106. Which is bigger: -0.1 or n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-10))\/(66\/110). What is the closest to -1 in h, -1\/5, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -182 - -179. Let k(d) = d**2 + 5*d - 4. Determine k(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -5136?\nAnswer: -3\/1712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*z = 47*z + 756 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-6 - -4) + 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-15 + 17 + -1) - (3 + 1) - -5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 236 - 97. Suppose 6*s - 157 + q = 0. Let m(z) = -z**2 - 3*z + 4. Let f(d) = 2*d**2 + 4*d - 5. Determine s*m(u) + 2*f(u).\nAnswer: u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -25.6, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2838 + -2834. Let b(i) = -2*i - 1. Let q be b(-2). Solve -q*u = -n*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 6*i + 5*o + 30 = 0, i + o - 3 = 0. Let q = i - 6. Is (1 + -435)\/(-3 - q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2*o**3 - 1)*(-5*o - 3*o + 21*o)*(4 - 6 + 18) in the form u + y*o**4 + f*o + i*o**3 + t*o**2 and give y.\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 712177, 1424344, 2136501, 2848648?\n\"Answer: -5*p**2 + 712182*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**5\/15 + 42*l**4\/5 + 484*l**3\/15 + 716*l**2\/15 + 158*l\/5 + 118\/15 = 0?\nAnswer: -59, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzmmmezemzmmzmz. What is prob of picking 4 z?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v**2 - 127*v - 103. Determine t(31).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -366*l**2 - 2*l + 20?\nAnswer: -732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 3*t - 4. Let l be b(3). Let r(a) = -11*a. What is the tens digit of r(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-10))\/(2\/20))\/(31\/((-60264)\/48))?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -47*o**3\/6 - 34*o + 23. Let n(k) = 56*k**2 + k. Calculate m(n(d)).\nAnswer: -2632*d**2 - 47*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.062139793 - -20227?\nAnswer: 20227.062139793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3795.4 take away -0.5?\nAnswer: 3795.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = 2*u - 1262. List the prime factors of u.\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6.9 in -5, 1, -21300, -3\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = z - 2. Suppose -k = -1 + z. Let w be k\/((-6)\/15)*1. Solve 4*v = 4*q + w*v + 14, 4*q + 3*v = -10 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76107005133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 38, 0, -1, 1\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 102, -4, 11, -104, -2?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 891 = -j + 3*j - 3*n, -5*j + 4*n = -2224. Let s = j - 246. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7205.661 years to months.\nAnswer: 86467.932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1171516 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/10)\/((-16)\/(-40)). Suppose -p*a - 3*r + 59 = 0, -a - 3*a + 5*r = -63. Solve -4 = j - 4*k, 2*j + 4*k - a = -6 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9091, 18237, 27391, 36547, 45699, 54841?\n\"Answer: -l**3 + 10*l**2 + 9123*l - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -762 + 4?\nAnswer: -756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -160606, -321240, -481874, -642508, -803142, -963776?\n\"Answer: -160634*o + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 61, 55, 49?\n\"Answer: -6*f + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25013 + -17832124.\nAnswer: -17807111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7 - -18 - (33 + -11)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/4 - 7*l.\nAnswer: -l*(l + 28)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/5, 3.8, 0.5, -3\/2, -162?\nAnswer: -162","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*v**2 + 4363*v**4 - 4504*v**4 + 291*v - v**2 - 290*v as x + y*v + d*v**4 + s*v**2 + t*v**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 23 + 2*o - 9*o - 15. Determine l(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2192 by -47.\nAnswer: 2192\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.299 + 0.011. Let j = -0.0159 - -7.7059. Let g = t + j. Which is greater: g or -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12311 - 1022?\nAnswer: -13333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 167617691 to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -1. Let w(i) = -2*i + 3*i - 2 + 0. Determine 3*n(f) - w(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a\/a**(2\/15))\/a)**(-43)*(a**14\/a)\/(a*(a*a*a*a\/(a**(-18)*a))\/a) assuming a is positive.\nAnswer: a**(-1324\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.053 + 3.053. Put y, 2, -3 in decreasing order.\nAnswer: y, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 3*d - 8, -4*w - 2 - 16 = 2*d for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 413, 2222, 5329, 9734, 15437, 22438, 30737?\n\"Answer: 649*n**2 - 138*n - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188 = 256*d - 303*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/3)\/7*(-12)\/(-56)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/45)\/((7242\/(-568))\/((-9)\/(-2))).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2, -310, -1208, -2990, -5950, -10382, -16580?\n\"Answer: -49*s**3 - s**2 + 38*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 309495409 rounded to the nearest one million?\nAnswer: 309000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20370 is divided by 8939?\nAnswer: 2492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(-11\/4)*w\/w**6*w*(w**(-10)\/w)**(-2\/17) assuming w is positive.\nAnswer: w**(71\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03567232811 to four dps.\nAnswer: 0.0357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q - 11. Let a be m(-13). Let g(h) = 25*h + 1. Is g(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 14*l - 21. Is j(5) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j**2 + 7. Let n(f) be the third derivative of -f**5\/60 + f**3\/3 - 12*f**2. Let l = 3 + -1. Determine l*g(h) - 7*n(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37342 + -10121. Let x = m + -40982. Let d = -9188 - x. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66 + (-9 - (61 - 21)) + 39\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b. Let m be f(-1). Suppose -2*u + 0*u = m. What is the units digit of (-18)\/(1 + -3) + u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33148733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-39 - g**3 + 39)*(-1 - 3 + 7) + 17 - g**3 - 5*g**2 + 832*g - 832*g to x*g + c*g**3 + u + v*g**2 and give u.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -56?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 829 is divided by 115?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-8) - 6\/48?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -14*r**2 + 1\/280*r**7 + 0*r**6 + 0 + 0*r**4 + 0*r - 1\/10*r**5 + 2*r**3. Suppose i(w) = 0. What is w?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -2120?\nAnswer: 2103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 288 and 128?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 6*u - 4*u)*(-4*u + 3*u + 2*u)*(1 - 2 - 1) - 1937 + 1937 + 3368*u**2.\nAnswer: 3366*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1.25 (b) 4 (c) -0.05 (d) -51 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-70)\/(-150))\/(6\/90).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 96977580?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 10*i - 8*i. Let q(j) = 2*j - 45. Let g be q(i). Sort -5, -3, -4, g in ascending order.\nAnswer: -5, -4, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(390\/(-70)))\/(28*(-9)\/(-324)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 4, 14 in decreasing order.\nAnswer: 14, 4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 57*c**3 - 46*c**2 - 6*c + 32. Is v(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -1, -9, -31, -73, -141, -241?\nAnswer: -379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 * -376.\nAnswer: 15.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f + 603 = 44*f - 63 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/4 + 25\/10. Suppose 4*t - h = 6. Suppose t*n - 52 = -0. Calculate the remainder when n is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5597 - -0.124749117\nAnswer: 5597.124749117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 - 2 + (-1 + 0 + 3)*(3 - 4 + 2) - 5 + 0 + 3 - 7 + 0 + 2)*(-2 + 3 + 0)*(9*v**3 - 9*v**3 - 13*v**4).\nAnswer: 156*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2271\/7 - 325. Let r = -33 - -31. Which is the nearest to -1\/2? (a) m (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-4) + -5 + 55\/10. What is the closest to 2\/9 in 0.1, 4, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1662871109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -58a10 (base 14) to base 3.\nAnswer: -101222022020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, p: 5, i: 8}. Give prob of sequence spp.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3991 - 3983. Let v(x) = -5*x - x + 3 - 2 + 9*x**2 - x**3. What is v(s)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -25. Let b(g) = -g**3 + 3*g**2 + 5*g + 5. Calculate b(r).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/28)*i)\/i*i*i**(1\/15) assuming i is positive.\nAnswer: i**(403\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (17\/((-765)\/60))\/((-2)\/3). Let w be (-1)\/14*i - (-4910)\/70. Calculate the greatest common factor of w and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -61, -90?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8870, -35876, -81078, -144470, -226046?\n\"Answer: w**3 - 9104*w**2 + 299*w - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17388*i**3*q + 114*q + 37 wrt i.\nAnswer: 52164*i**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 9*g**2 - 47*g - 386. Let k be y(-6). Solve 4*q = o + 21, 0 = 2*q - k*o + 3*o - 11 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 3*t - 23 - 2, -4*a = t - 25. Suppose 0 = 3*q + 3*f - 12, 3*q + 4*f = 16 - 5. Suppose -q*w + a = -0*w. Solve -z + w = 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 213813 and 1485?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l*l**4\/l*l)\/l))**(-19)\/(l**(6\/7)\/(l\/l**(-5\/14))) assuming l is positive.\nAnswer: l**(115\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -45 - -a?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 96932985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 4, 17, 2, -0.12499?\nAnswer: -0.12499","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t + 7. Let i(y) = 278*y - 2. Determine i(x(u)).\nAnswer: 1112*u + 1944","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f + 6 = 24*f. Let i be 198\/(-12) - 1\/(-2). Find the common denominator of f - 3 - (-316)\/i and 46.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1090, 2\/9, -7, 5 in decreasing order.\nAnswer: 5, 2, 2\/9, -7, -1090","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 901841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 324290*a - 324288*a + 2.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45\/7 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -7 - (34 - (-1 + -6 + 6 + 5))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 3*y**5\/10 - 3*y**3 - 6*y**2 - 9*y\/2 + 134. Find t, given that l(t) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -77 - -134. Suppose 420 = v*c - 52*c. Let k = 5 + c. What are the prime factors of k?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15060751 to the nearest integer?\nAnswer: 3881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (11 - 13) + -5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 2*h - 3*h, 0 = 5*x - 5*h + 40. Let s = 7 + -6. What is the nearest to -1 in x, -4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -6*p**2 - p - 2. Let n be k(2). Let d = n - -69. Suppose -d - 25 = -h. What are the prime factors of h?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 9:32 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.11681 millilitres in litres?\nAnswer: 0.04711681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3551\/90 - 167\/5. What is the common denominator of -65\/9 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -105 - y - 2*y + 2*y + (5 - 1 - 2)*(-2*y + 3*y - 4*y) - 4*y + 5*y - 3*y - 3 + y + 3.\nAnswer: -8*y - 105","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 12:24 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of r**3\/3 - 6*r - 7. Let v(x) = -15*x**2 - 1. Give v(b(f)).\nAnswer: -60*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8.13968 tonnes?\nAnswer: 8139680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, -19, 678?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**3 - 17*f**2 - 7*f - 13. Let y be p(9). Let h(i) be the third derivative of 0 + 0*i - 1\/240*i**y + 2*i**2 - 1\/6*i**3 - 1\/24*i**4. Factor h(d).\nAnswer: -(d + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -4 + -4 + 7 - (5 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.99845239 to 4 dps.\nAnswer: 0.9985","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(6\/7)\/r*r*r\/(r\/(r**(2\/11)*r*r)))\/(r**(10\/3)*r*r*r*r*(r\/(r\/(r\/r**(-16)))*r)\/r) assuming r is positive.\nAnswer: r**(-4919\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76530113*-9.\nAnswer: -688771017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80229 and 7222317?\nAnswer: 1707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 205 and 123?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29013\/8 + -3622. Calculate the common denominator of -19\/1224 and u.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1102 - 10021?\nAnswer: -11200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -5*c**4\/6 - c**3 - 2*c**2. Let x(d) = 42*d - 101. Let a be x(2). Let p(r) = 7*r + 2. What is a*p(m) - 6*t(m)?\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-8))\/3*(-240)\/(-15). Solve -5*v + g*v + 4 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4 + 0 + (-6)\/3 - -191?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 4*j + t, 0 = 5*j - t + 9 - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1822 is divided by 166?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1728*b**3*h**2 + 5*b**3 - 8*b**2*h**2 + 62*b*h**2 + 149*b*h wrt b?\nAnswer: -10368*b*h**2 + 30*b - 16*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of o**5\/30 + 7*o**4\/24 - 7*o**3\/6 - 2*o**2. Let j be d(-6). Suppose 5*r = -8 + j. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 62272496.\nAnswer: 62272501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 9:16 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 15*i**2 - 4*i - 44. Calculate the least common multiple of 216 and j(14).\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 14) to base 12.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7985773 is divided by 58?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, k: 6, l: 4, h: 3, d: 2}. What is prob of picking 1 k and 1 i?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25174, -25183, -25192?\nAnswer: -25201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(3\/4)*g)**39)**(-33) assuming g is positive.\nAnswer: g**(-9009\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k - 5*k - 3760 = -3697. Let x = -7 + 2. Sort 3, k, -3, x.\nAnswer: x, -3, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 5*f + 25, 4*n - 4*f - 20 = 0. Sort 5, -2, 769, n in descending order.\nAnswer: 769, 5, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194488 a multiple of 322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -126, -1026, -3432, -8082, -15714, -27066, -42876?\n\"Answer: -123*x**3 - 15*x**2 + 6*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 433, 430, 427, 424, 421, 418?\nAnswer: 415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36eb71 (base 16) in base 10?\nAnswer: 3599217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -d**5\/60 - 7*d**4\/24 - 8*d**2 + 34. Let w(m) be the second derivative of f(m). Determine w(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2907*w. Let y(i) = 86*i**2 - 30*i. Calculate a(y(z)).\nAnswer: 250002*z**2 - 87210*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -3*k**8\/28 - k**7\/5 - k**6\/30 + k**5\/30 + 7*k**2\/2 - 68. Let r(h) be the second derivative of s(h). Solve r(f) = 0.\nAnswer: -1, -1\/3, 0, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46330.\nAnswer: 2, 5, 41, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/3102 and 89\/524.\nAnswer: 812724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 11:21 PM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*z**5 - 94*z**4 + 5*z**2 - 5747*z + 3 wrt z?\nAnswer: -40*z**3 - 1128*z**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2*sqrt(5))**2 + 1 + -5)*-6.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 at most as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2 + p + 1. Let c be q(-1). Differentiate -2*d**2 - 3*d**c + d**2 - 6 with respect to d.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000337102005 to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1*sqrt(192) - sqrt(768)*2) + (5*1*sqrt(384))\/sqrt(8).\nAnswer: -20*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 11*i + 2 + 0 + 3 + 2*i**2 + 5. Let d be u(-8). What is the greatest common factor of d and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1485823.1700022 + -1485823. Let k = t - 0.17. Round k to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a = -5*a - 5, -15 = 5*r + 5*a for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11499, -14535, -17571?\nAnswer: -20607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 3*v - 843, -2*w + 5*v = -0*w - 341. Suppose -5*x - 248 = -3*z - x, 2*x + w = 2*z. Suppose -3*r + 7*r = z. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**5 + 795846*l**4 - 1591678*l**3 - 2387526*l**2 = 0.\nAnswer: -1, 0, 3, 397921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -42083240 rounded to the nearest 100000?\nAnswer: -42100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 22 = 5*p - 4*r - 34, 4*p - 4 - 21 = 3*r for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(3) - -4*sqrt(3)*-2) + sqrt(216)\/sqrt(8).\nAnswer: -4*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9\/95 + -2\/19. Suppose 0 = -5*r - 5. Which is the biggest value? (a) q (b) r (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, t: 15}. Give prob of picking 2 t.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 234460 (base 7) to base 6\nAnswer: 524231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 7*v - 15. Let z = -8 - -13. List the prime factors of o(z).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -7*l**2 + 2*l**3 - l - l + 6*l**2 + 6*l. What are the prime factors of w(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -182*w**4 + 13 + 1562*w - 1561*w + 2*w**2 - 2*w**2 in the form a*w**4 + c*w**3 + b*w + z + l*w**2 and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-3)*(-42 - -45). Solve -25*a + 89 = i for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((3 + (sqrt(242) + sqrt(242) + -2)*-5)**2 - (-1 + 4*(sqrt(2) - ((sqrt(88)\/sqrt(4))\/sqrt(11))**2))).\nAnswer: -2864*sqrt(2) + 24373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4724861759?\nAnswer: 467, 10117477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -48.678629 to one decimal place.\nAnswer: -48.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/918 - 947\/(-25569)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000394 to seven dps.\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 5:44 PM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3*(-3)\/(-9))\/(-3). Let q(h) be the first derivative of 0*h + m*h**3 - 2 - h**2. What is the second derivative of q(v) wrt v?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 34 = -30 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 30. Suppose j*y = 9*y + 9. What is the remainder when 14 is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 665 - -15f0?\nAnswer: 1c55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 385*t - 1793 - 1798 + 407*t + 3591.\nAnswer: 792*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 11083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 97*x - 73*x + 216 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 423*f**4 + 162*f**4 + 788 + 385*f**4 wrt f.\nAnswer: 3880*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (-700)\/49 + (2 - 36\/21). Let q = -14 - f. Suppose -b + q*h = 2*h + 6, -18 = -5*b + 2*h. Solve 0 = 5*c - 7 + b for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -1203*v**3 - 2*v**2 + v. Let w be d(2). Let s be -2 + 52\/20 + 5718\/w. Is s >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**3 - 3*s**3 + 2 + 6*s**3 - 3*s**3 to the form q*s**2 + t*s + h + a*s**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + (sqrt(153) - (sqrt(153) + 1*sqrt(153) + sqrt(153)))*1)\/(-1*sqrt(324) - sqrt(324) - sqrt(324)).\nAnswer: sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(2 - 4 + 3)*(-597*t + 1716781 - 1716781).\nAnswer: -597*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**2 - p + 6. Let r be l(0). Let y be (r\/15)\/((-4)\/(-20)). Factor -2\/3 + 2*f - 2*f**y + 2\/3*f**3.\nAnswer: 2*(f - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3084 divided by -4?\nAnswer: 771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 4, -120, -4 in descending order.\nAnswer: 4, 1, -3, -4, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -17*u - 3 + 5*u + 10*u. Let o(d) = -1. Suppose -10 = 5*x - 5. Give x*p(f) + 3*o(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.038 - 4.262. Let x = o - -4. Which is the smallest value? (a) 5 (b) x (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*5.77.\nAnswer: 1.731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v + 1. Let m(c) = 1. Let q(d) = 3*m(d) + w(d). Suppose -2*f = -3*a - 14, -4*f - a = -6*f + 6. Calculate q(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - 3*s + 8*s)*(-8 - 3 + 3)*(1769 - 1769 + 20*s).\nAnswer: -800*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1525*z + 1532*z = 14 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y - 1028804 = -29*y + 2*y. What is the ten thousands digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3 = 1. Suppose -2*g + o + o + 36 = 0, -4*g + 5*o = -74. Solve -g + n = 5*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -62 - (17 + -117 - -25).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -420.6 less than 0.09?\nAnswer: 420.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.13 take away 4054.221587?\nAnswer: -4068.351587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 0. Suppose 0 = -2*j - l*j + 580. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2015 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*a + 12*a + 198 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 177201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 40747279.93 to the nearest one hundred thousand.\nAnswer: 40700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -454, -0.39, 2, 1\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1664342*t + 388 = -1664346*t for t.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 6*s**2. Let f(t) = -3*t + 11. Let n be f(3). Let l(a) = 3 + 20*a**2 - 21*a**n - 3. Calculate l(c(m)).\nAnswer: -36*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 284686 to the nearest integer?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1188462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -49909702 - 63.88\nAnswer: -49909765.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of k**4\/3 - 2*k**3 + k - 6. Let j(o) be the first derivative of q(o). Factor j(c).\nAnswer: 4*c*(c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29\/(5887\/(-2117)) + 11.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -12*a**4\/5 - 4167081*a**3\/5 + 17710263*a**2\/5 - 16668519*a\/5 + 3125349\/5 = 0.\nAnswer: -347261, 1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2897218 to the nearest integer?\nAnswer: 1702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*j + 4)*(-211*j**2 + 3431*j - 507*j**2 - 3421*j).\nAnswer: -1436*j**3 + 20*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -893 = 50*n - 3*n. Let s(o) = -o**3 - 18*o**2 + 16*o - 19. Give s(n).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 3, 0.4, 4, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2*(19 - 19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**3 - 2*p**3 + 11*p**3 + (-4*p + p + p)*(p**2 - 3*p**2 + 0*p**2).\nAnswer: 15*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-404)\/(-505))\/((-6)\/15)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 210511531, 421023060, 631534589, 842046118, 1052557647, 1263069176?\nAnswer: 1473580705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 718.889293 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6484, 6662, 6840?\nAnswer: 7018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, y: 1, t: 1, v: 3, n: 3, k: 2}. What is prob of picking 1 k and 1 v?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 1 = -2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 769a + -2?\nAnswer: 7698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 467269212 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/29293513 and -65\/3611529.\nAnswer: 263641617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 4:48 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + d + 3 = 0, 25 = -4*k - 247*d + 248*d for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 2:11 AM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-198)\/(-77) + -3 + 59\/7. Suppose 12 = 4*w - 5*r - 21, -2*r = 5*w. Suppose -w*k + 0*k = -p. Solve 1 + k = 5*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/20 and 93\/92.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 236 = 2*v, z - 2*z = 2*v - 44. Suppose -43*x + 44*x = z. Let i = 77 - x. List the prime factors of i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 285 - 275. Suppose 3513 = -q*b + 9593. What are the prime factors of b?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l + 0*l + 0*l)*(79 - 36 - 30 + (1 - 3 + 0)*(3 - 3 - 1)) to the form a*l + q and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*b**4 + 37*b**3*n**2 - b**3*n + 84*b*n**2 - n**2 wrt b.\nAnswer: -48*b**2 + 222*b*n**2 - 6*b*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, o: 5, u: 5, s: 2, q: 2, g: 2}. Give prob of sequence ufug.\nAnswer: 1\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 847444558?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 3 = -6, -3*v = 5*q for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -7 - 5. Sort -4, d, 3 in ascending order.\nAnswer: -4, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19404 and 639177?\nAnswer: 53690868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 38*p - 4. Is i(21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of 31*u**5\/60 + 301*u**2 - 16*u + 2. Let x(r) = r - 1. Let z be x(7). Let v(n) = -z - n + 6. Calculate y(v(c)).\nAnswer: 31*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u + 18 - 3*u - 3*u**3 + 4*u**3 + u to the form g*u + h*u**2 + v*u**3 + b and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -125.3 * -2\nAnswer: 250.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-36)\/(-15) - 3) + 2\/(-5). Let d be 905\/((-6)\/(-3) + (i - 2)). Let v be (d + 5)\/(6\/(-680)). What is v rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67091 and 276.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -8, 139, -0.9, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 d when two letters picked without replacement from hdoohihhohoohohoi.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d - 92. Let h(x) be the third derivative of x**5\/60 + x**2 - 2*x + 5. Give s(h(k)).\nAnswer: -2*k**2 - 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 29*z**2 - 55*z - 24. Let l be q(-27). Let w(i) = -2*i + 2. Let o be w(1). Suppose -l*a = -o*a + 6. Let j(d) = d**2 + d - 1. What is j(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -68 - -76. Solve -4*m + s = 20 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40012 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 11 - 12) + 25 + -25\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3ab + 7?\nAnswer: 3b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 2:51 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 22614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/168?\nAnswer: -1\/168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -20*o**4 - 36*o**3 - 20*o**2 - 4*o - 5. Let a(h) = -19*h**4 - 35*h**3 - 21*h**2 - 5*h - 4. Let w(n) = 4*a(n) - 3*d(n). Let w(z) = 0. Calculate z.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 3:03 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11619.9 + 11620. What is the nearest to -7 in f, -0.1, -0.08, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5402*(24\/(-16))\/((-18)\/(-6)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48\/7 and 81\/2152.\nAnswer: 15064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -63179623.6 to the nearest 1000.\nAnswer: -63180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 17\/((-612)\/(-2664))*(-2)\/(-4)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 972807, -3, 13, 2 in descending order.\nAnswer: 972807, 13, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -33*f**2 + 27*f. Let w(l) = -5*l**2 + 4*l. Let g(c) = -4*d(c) + 27*w(c). Let q(t) = 94*t**2. Determine q(g(h)).\nAnswer: 846*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q. Let z(h) = 4*h**2 - 12*h. Let r(y) = y. Let l(c) = 12*r(c) + z(c). Determine m(l(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = n - 72. Suppose -4*o + n = u, 0*u = 2*u - 2*o - 22. Let b(c) = -c**2 + 16*c - 61. Let p be b(9). Calculate the greatest common divisor of u and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.45611392 to 4 dps.\nAnswer: -3.4561","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -98 - -110. Suppose 9355 = 3*a - f, f - l = 4*f. Suppose 0 = 3*g - a + 213117. What is g rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/13)*q*q*q**(-3\/4))**(1\/11) assuming q is positive.\nAnswer: q**(57\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -20. Let z(l) = -l**3 + 5*l**2 + 3*l - 2. What are the prime factors of z(k)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -z**4\/6 - 8*z**3\/9 - 16*z**2\/9 - 11*z. Factor q(w).\nAnswer: -2*(3*w + 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 3 = -4*w + 33, -w = 2*x - 14 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 11:57 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 1)*(-18415 + 18415 + 627*k).\nAnswer: 2508*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/154 and 47\/12978.\nAnswer: 142758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**4 - 307*x**3 + 23097*x**2 + 71455*x + 48050 = 0.\nAnswer: -2, -1, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1213 (base 5) in base 3?\nAnswer: -20210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 57 + (2 - 2). Let b(g) = 2*g + 1. Let m be b(10). Let i = p - m. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5699650.\nAnswer: 2, 5, 11, 43, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24447437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 181, 396, 705, 1114, 1629, 2256, 3001?\nAnswer: 3870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 20, 25, 24, 11, -20, -75, -160?\n\"Answer: -q**3 + 3*q**2 + 3*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*u**5 + 11*u**4 - 8558*u**3 + 5*u**2 + 23496*u wrt u?\nAnswer: 120*u**2 + 264*u - 51348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 9*w - 20. Let f be h(7). Let i = f + -43. Solve -4*q = -4*c - i*q + 20, -11 = -3*c - q for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**2 - 943*b - 942 = 0. Calculate b.\nAnswer: -942, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*w + 4*w - 5*w)*((4*w + w - 4*w)*(-2 + 2 - 1) - w + 3 - 3) to f + q*w**2 + k*w and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2 = -2*a, 4*u - 2*u - 2*a = 4. Suppose -3*z - u = -36. Solve 3*i + 5 = 4*l, 2*i - 3*l - z = -3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -7*d**3 - 1. Let f be q(-1). Let k = -4 + f. Suppose 0 = -k*g + 175 + 225. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrykjlyll. What is prob of sequence lr?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 950 and 7790.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-seven halves of a litre?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60.1 - -55. Let p = 0.1 + 0. Let u = p + n. Which is the closest to -0.1? (a) u (b) 1\/3 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 i when two letters picked without replacement from iidddiiri.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-48) - (-155)\/(-570)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - -9) + (-4 - (-3 - -2)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/6, -4, -1\/2, -9858?\nAnswer: -9858","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -15*o**3 - 23*o**2 + 2442*o - 82. Give l(12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 147662256 to the power of 1\/2, to the nearest integer?\nAnswer: 12152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (4 + 0 + (-104 + 126 - 73)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 534*p - 536*p - 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u - 3*d + 11, -548 = -3*u - 41*d - 610 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 196 and 14336.\nAnswer: 100352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-126 + 108 + 221)*(-5*m**2 + 2*m**2 + 2*m**2)*(2 - 2 - 3).\nAnswer: 609*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x**3 + 197*x**2 - 1053*x - 161. Determine m(6).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**4\/7 - 690*o**3\/7 - 373150*o**2\/7 - 40302750*o\/7 - 140867500 = 0 for o.\nAnswer: -145, -35, 670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 11:16 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**2 - 9*q. Let m be s(6). Suppose -3*r - m = -8*r. What is the highest common factor of r and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 79.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, r: 2}. Give prob of picking 3 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minus -4004471027?\nAnswer: 4004471065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b + 1 = 13*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 237142 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 32*g - 36*g - 34 = 0, 3*x + g = -12. Put x, -50, -3 in ascending order.\nAnswer: -50, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59 (base 11) to base 5.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.168 and -0.048.\nAnswer: -0.216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 44 = -2*h + 72, -2*h - 4*a = -106. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 11598 - 23410 = -11676 for w.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/66993 and 127\/20550?\nAnswer: 3349650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/6 of a week?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -10*s - 32. Let y be u(-5). Suppose y + 170 = 4*q. Calculate the highest common factor of q and 282.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 + 71. Let t = l + -19. Solve -t + 4 = -h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 50. Suppose -o = -c - c. Let i = 30 - 15. Solve i = 5*p + 3*l, 0 = 4*p + p + l - c for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318*a - 325*a = -939*a + 313*a + 34 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 times -0.3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 3*v - 16 = 0, 5*s + 2*v + 15 = 7*v for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/2*(-3 - (-119)\/35). What is the second biggest value in -4\/3, 1, 4, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 8*w. Let p be v(17). Let d = p + -51. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -9*v + 15. Let f(c) = -941 + v*c + 941. Let u(x) = -5*x**2. Determine u(f(w)).\nAnswer: -45*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 706 and 0.39.\nAnswer: 275.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2 + 1 + 4*h**2 + 1 - 3*h wrt h.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 6. What is the lowest common multiple of 2 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(12)\/sqrt(3))\/sqrt(2) + (1 + sqrt(2) + -5 + (-1 + (sqrt(2) - -2*sqrt(2)) - sqrt(2)))**2.\nAnswer: -34*sqrt(2) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28711436 to the power of 1\/2, to the nearest integer?\nAnswer: 5358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -9\/817736 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29735832 divided by -4711.\nAnswer: 6312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 40315 (base 6) to base 15\nAnswer: 1888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 4*r - 2*a, r + 2*a - 3 = -a. Calculate the highest common divisor of r and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 3*o = -6, 0 = 5*c + 54*o - 60*o + 18 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38328 + 65755. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011 (base 3) to base 6\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -396 + 398. Let r be 1 - (116 + y\/(-1)). Sort -4, r, 4 in descending order.\nAnswer: 4, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*p + 379. Suppose 3*v = -r + 269, -2*v - p = -3*v - 3*r. Does 12 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llttzzzzzzlz. Give prob of sequence tzlz.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 6. Let k = 8 - x. Calculate the lowest common multiple of k and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 22*f**2 - 20*f + 8. Let y(z) = 9*z**2 - 8*z + 3. Let p(k) = 5*n(k) - 12*y(k). Determine p(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 212203, 424417, 636637, 848863, 1061095, 1273333, 1485577?\n\"Answer: 3*u**2 + 212205*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -111039 less than -3.975?\nAnswer: 111035.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70159?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1428 + 1653 = -39*d. Is d at most as big as -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139 = -k + 136 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w - 3*w - 3*w.\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-922)\/(-480) + 7\/70 and 145\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -84, -3, 2, 5, -34 in decreasing order.\nAnswer: 5, 2, -3, -10, -34, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r - 17 + 2*r - 3*r - r + 18. Let z(m) = -3*m - 4. Calculate -7*q(x) - 2*z(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/1537, 58.4 in descending order.\nAnswer: 58.4, -2\/1537, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (39 - 6 - -1) + -4 + -7\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1331820 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 2\/11, -0.5, -6, 2\/15?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -884*u - 3650 = -1784*u + 827*u for u.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - v**2 - 4)*(31*v**2 - 5*v**2 + 3 - 9*v**2) + 4*v**3 - 2*v**4 - 4*v**3 to s*v + r + h*v**3 + i*v**2 + l*v**4 and give l.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12030281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - d. Suppose 0 = -4*f - 3*t + 30, 0 = 2*f + 3*t - d*t - 12. Suppose f*o - 678 = 339. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 + -25. Solve k*t - 3 = -t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-14)\/15)\/((-6)\/(-5)))\/((-2)\/54)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -177*d**2 + 9*d - 9. Let h(z) = 89*z**2 - 4*z + 4. Calculate 9*h(u) + 4*m(u).\nAnswer: 93*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 b, and 1 x when three letters picked without replacement from dxmdmmdbddkmdkb?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 2436*k - 483509. Determine l(-218).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 42 (b) -2\/3 (c) 6 (d) -24 (e) -5 (f) 0.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 6. Let z(l) = l**3 + 2*l**2 - 13*l + 12. Let t be z(x). Let k(g) = g - 4. Let j(r) = 5*r - 16. Calculate t*j(a) - 9*k(a).\nAnswer: a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(-2)\/3*1. Is (-390)\/(-4) + x\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhhhhhqhhh. Give prob of sequence qh.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96391227, -192782459, -289173693, -385564929, -481956167, -578347407, -674738649?\nAnswer: -771129893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 104.6 + 6.4. Sort 1, d, -4 in ascending order.\nAnswer: -4, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -118642*m**4 + 2209*m**2 + 34?\nAnswer: -2847408*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2025 (base 9) to base 3.\nAnswer: 2000212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 0.08536.\nAnswer: -0.017072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5023 + 2.4977. What is the closest to 0 in 4\/5, 2, o?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -6*b + 2. Let l = -10 - -9. Let h be g(l). Is 32 a factor of 258\/h + 14\/(-56)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 466662783?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -702 = 16*s - 7*s. What is the hundreds digit of s*(-7)\/(-28)*-6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53\/4 - -13. Which is smaller: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -143.6 and -32029.\nAnswer: 4599364.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9956 or -129426\/13?\nAnswer: -9956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*o - 16 + 16)*(-3*o**2 + 2*o**2 - o**2 + 5 - 5 + o**2 + (-o + 5*o - 2*o)*(-3*o + 2*o - 2*o)) to the form h*o + p + s*o**2 + a*o**3 and give a.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 3*n - 12, -4*s - 2*n + 30 = -5*n. Suppose 4*i - 42 = 2*y, -2*i + y = -3*y - 18. Calculate the smallest common multiple of i and s.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bw when two letters picked without replacement from {y: 1, h: 5, w: 1, b: 10, v: 3}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.2192744 years?\nAnswer: 0.0002192744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14814600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 124181, 123983, 123785?\n\"Answer: -198*z + 124379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 469366797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17401 - -21541. Is s a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2399623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47.23 - 1.77. Let l = y - -47. Let j = 0.6 + -0.7. Put 0.4, l, 3\/5, j in increasing order.\nAnswer: l, j, 0.4, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 9, 1\/219, 3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1.1*1251728\nAnswer: 1376900.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -6*(-6)\/(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**5 + z**4 + z**3 + z**2 + 1. Let o(h) = 2*h**5 + 6*h**4 + 11*h**3 + 11*h**2 + 5*h + 2. Let x(s) = -3*k(s) + 3*o(s). Find b such that x(b) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j + 4. Let u be z(-4). Sort -2, u, 0, -5 in decreasing order.\nAnswer: u, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*i + 14*i - i**3 + i**2 - 11*i - 5*i**3 + 11*i + (4*i**2 - i**2 - i**2)*(0*i + 3*i - 5*i).\nAnswer: -10*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 23 = 2*z, 2 = -4*z - 5*d + 3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 1)\/(0 - 2). What is the remainder when 29 is divided by (-26*y)\/(-2) - 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20025 + -3?\nAnswer: -20032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 4. Suppose -4*u + 2*u + 88 = b. Calculate the highest common factor of u and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 210 and 56.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z\/((z*z\/(z*z*z**(-1\/7)\/z))\/z))*z**(-5) assuming z is positive.\nAnswer: z**(-34\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 26*a**2 + 2*a + 31. Let c(q) = -2*q**2 - 4. What is -3*c(l) - w(l)?\nAnswer: -20*l**2 - 2*l - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 - 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 72*q**5\/5 + 4719*q**4\/5 - 3387*q**3 + 16899*q**2\/5 - 5169*q\/5 + 414\/5 = 0.\nAnswer: -69, 1\/8, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -11*r**6\/60 - 5*r**4\/12 - 8*r**2. What is the second derivative of k(m) wrt m?\nAnswer: -132*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/10 + -3*387577\/(-240). Let u = -4842 + g. What is the common denominator of u and 109\/24?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5694 - -5710. Solve 12*k - 8*k + 4*j + a = 0, -k = 2*j + 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 3)*(-48*c**5 - 212*c**5 + 72*c**5) - c**5 - c**2 + c**2.\nAnswer: 751*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -37*n**3 + 2*n**2 + 3*n + 1. Is b(-1) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -66, -2\/19, -0.5, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 282083, 282073, 282063, 282053?\n\"Answer: -10*z + 282093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29222.262 months to decades.\nAnswer: 243.51885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-1350) - (-1)\/15\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*((sqrt(76) - (-2 + 4*sqrt(76))) + 0))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-7 - (0 + -4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 3*r + 3*r)*(-4 - 19*r - 10 + 10)*(-r + 0*r + 2*r)*(0*r + 4*r - 2*r).\nAnswer: 76*r**4 + 16*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 6807000 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 918.4 and -15.6.\nAnswer: 902.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 37 in 0, -0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 283446779*r**2*u**3 - r**2*u + 3*r**2 + 251*u - 27399 wrt u?\nAnswer: 1700680674*r**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*r*u**2 + 298119*r + 7689293*u**2 with respect to r.\nAnswer: 4*u**2 + 298119","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 4, 10, -3, 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0950053 to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -1ed?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 5*j + 266 = r, 0 = 4*j - r - 220. What is the second derivative of -103*q - 35 + 89 - j - 36*q**2 wrt q?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11130849?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -341631216 divided by -16656\nAnswer: 20511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 2ccc72?\nAnswer: -2ccc6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/(-18)*(4 + -1). Which is the biggest value? (a) 2 (b) p (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 5*u**2 - 27*u - 70. Calculate the remainder when 102 is divided by r(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7012 - -19190. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 3:31 AM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 64893.\nAnswer: 129786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11094773479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*i - 7905 = 52183. What is the highest common divisor of 56 and i?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41257342 by -2.\nAnswer: -20628671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1197254 rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.5, 0.9, 5, 19?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 137698 less than 0.02?\nAnswer: -137697.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.71991266 rounded to four dps?\nAnswer: 0.7199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*v**3 + 44*v**3 + 51*v**3 + 51*v**3 - 195*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 5*t. Let b be (6\/(-16))\/(24\/(-16)). Let d(o) be the second derivative of -5*o + 0*o**3 + 0 + 0*o**2 - b*o**4. What is l(d(q))?\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 9:06 AM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 2972*u - 2974*u + 4, -104*u + 9*l = 330 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3033023 (base 5) to base 4\nAnswer: -23333302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51179 - 2098218\/41. Let r be (1\/10)\/((-410)\/(-25835)). Let b = r - p. Calculate the common denominator of 25\/18 and b.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**3 + 6*m**2 + 3. Let n(j) = -j**2 + 23*j - 79. Let z be n(19). Let h be k(z). Let i(y) = -y**3 + 2*y**2 - 2*y - 4. Give i(h).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 32?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(6\/11)*x)\/x**(-6)*(x**4*x)**(-47) assuming x is positive.\nAnswer: x**(-2491\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 160, 151, 132, 97, 40, -45?\n\"Answer: -u**3 + u**2 - 5*u + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 605 and 220.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 74 - 39496.9.\nAnswer: -39422.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -226152*j - 226058*j + 452200*j.\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(((-12)\/(-21))\/((-8)\/(-28)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of 7*s**4\/24 + s**3\/3 - 9*s**2 - 2*s. Give x(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27 in 12, -0.4, 271.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 632 a factor of 202617052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/10416 and -71\/2976.\nAnswer: 20832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 4:57 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + -0.5. Let z = q + 0.3. Let r(s) = s + 2. Let k be r(-5). Which is the nearest to 1? (a) z (b) k (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368 is divided by 74?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 74649, 1 in descending order.\nAnswer: 74649, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - 3*(-6)\/54. Which is the nearest to o? (a) -22 (b) 0.1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 299 - 269. Suppose 5*k - 3*t + 5*t = p, -t + 17 = 3*k. Let l(y) = -4*y + 10. Determine l(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5403*h - 5414*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, -14, 1, -8, -3, 3, -9 in decreasing order.\nAnswer: 68, 3, 1, -3, -8, -9, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 2*z - 0*z. Let g = -1 - z. What is the smallest common multiple of g and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1810584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 56*m**3 - 2*m**2 - 98*m**3 - 1 + 2*m + 3 + 55*m**3. Let i(j) = -26*j**3 + 5*j**2 - 5*j - 5. Calculate -5*b(q) - 2*i(q).\nAnswer: -13*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, -3, -1, -20, 1\/6?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g**2 + 38*g**2 + 25*g**2 - 74*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/16)\/(61\/(-366)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2030 times 5\nAnswer: 10150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 6237569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + l + 14718. Is l\/22*2\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 4*l + 12, -2*h - h + 10 = 4*l. Suppose 0 = 7*o - h*o - 70. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2*(sqrt(684) + 3) - -4*(sqrt(1216)*4 + 3))**2.\nAnswer: 5320*sqrt(19) + 372761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - (-100)\/26) + 18\/117. Let b(y) = 4*y + 10. Is 14 a factor of b(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3461 is divided by 165.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/12879 and 32\/946845.\nAnswer: 25564815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22474, -21604, -20720, -19816, -18886, -17924, -16924, -15880?\nAnswer: -14786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13089 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.25 + 1769.187017?\nAnswer: 1770.437017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 276.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10077 + 94352. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91257843 and 1515.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from fffxxxff?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10600*o**3 - 3*o + 289105?\nAnswer: 31800*o**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 2. Let y be v(-2). Suppose -208 + y = -2*n. Suppose -5*m + 8*m - 102 = 0. What is the highest common divisor of n and m?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o**2 - 10*o - 13. Let f(h) = 2*h**2 - 5*h - 6. Let z(y) = 7*f(y) - 3*t(y). Let r be z(-3). Let p(u) = -u**2 - u + 7. Let v be p(-4). Sort -3, v, r.\nAnswer: v, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**2 + 11*i**2 - 2*i**2 - i**3 - 6*i**2.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-7)\/2)\/((-2)\/(-327)*168\/(-1568))?\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 208*i**3 + 16*i**3 - 17*i**3 + 2*i - 2 in the form l*i**3 + f*i + v*i**2 + z and give l.\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*j**2 - 29 - 328*j + 328*j wrt j.\nAnswer: 54*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*w + 48 = 0. Suppose 9 = 4*h + 1, 0 = -2*i + h + 44. What is the remainder when i is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/17 (b) -11 (c) 24 (d) -2099\/6 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1504 is divided by 168?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 218826881 - 218826889.99999944. Let k = g + 9. What is k rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*q**2 - 142*q**2 + 95*q**2 - 272*q**2.\nAnswer: -466*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (12 + -6 - 0) + -3 + -3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(504) - -2*sqrt(896))\/(sqrt(2178) + -1*sqrt(2178) - sqrt(2178)).\nAnswer: -10*sqrt(7)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -180110 + 95458249\/530. Find the common denominator of 43\/60 and z.\nAnswer: 3180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3440 + -990. What is the thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257038 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.92 + 4. Let j = -3.08 + a. Let g = -187\/4 - -47. Sort g, j, -2\/9.\nAnswer: j, -2\/9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, z: 4, s: 1}. Give prob of picking 3 z and 1 k.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3741.9 - 3724. Let t = -3 - -21. Let c = h - t. What is the smallest value in c, -2, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0071074685 and -14.\nAnswer: -14.0071074685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -100 + 101.76. Let a = -0.24 - j. What is the closest to -0.1 in 3, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/45*45\/99. Which is smaller: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1569 - -1567. Let f(z) = -z**3 - 5*z**2 + z + 4. Let j be f(-5). Let g = 4 + -4. Put j, g, p in ascending order.\nAnswer: p, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -22, -27, -4, 65, 198, 413?\nAnswer: 728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 148 = 2*t + 176, 0 = 3*t + 3*y + 6. Let n(k) = -k**3 + 6*k**2 - k + 24. Determine n(t).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.9 + 7?\nAnswer: -44.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 51190 to the power of 1\/2, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2800) - (sqrt(2800) - (sqrt(2800) + -1 + -3)) - (sqrt(2800) + -1*(-1 + sqrt(2800))))*5*-2*-3*1)**2.\nAnswer: -180000*sqrt(7) + 2542500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8854998ug to milligrams.\nAnswer: 0.0008854998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-3) - -3 - (-17)\/3. Suppose -z*t + t = 30. Is 3 a factor of 0 - (1 - 4) - t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**5 - 4*q**4\/5 + 16*q**3\/5 + 4*q**2\/5 - 6*q\/5 = 0?\nAnswer: -1, 0, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i + 90 = 0, -27*i + 32*i - 59 = -7*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s - 23*s - 6*s = -175 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*d + 130*d - 894 = 0. Calculate the common denominator of (-2)\/(d\/169 - (-38 + 35)) and 79\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 222597528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55938034 is divided by 1076.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) 0.1 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o - 4 + 4 + (-1 + 1 - 1)*(-o + 2*o + o) + 2*o - 4*o + 0*o - 4*o + o + 2*o + 286 + 59*o - 182*o + 125*o as s + h*o and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15240 (base 7) in base 15?\nAnswer: 13cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50 + 70. Let d be (24\/90*-3)\/((-3)\/15). Let u = t + d. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1560084440 to the nearest one million.\nAnswer: 1560000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2. Let x(n) = 3*n**2 + 1. Let l(u) = 4*g(u) + x(u). Let i(m) be the first derivative of l(m). Let v(z) = 2*z - 2*z + 2*z**2. Determine v(i(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d + 4 + 8 + d. Let u be z(-8). Let r = 89\/238 + -3\/34. Sort 4, r, u in ascending order.\nAnswer: u, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 852597 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 5*q**2 - 36*q - 39. What is the hundreds digit of x(27)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 2. Let j = -255.1 + 255.9. What is the nearest to l in 4, j, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6486012 is divided by 41.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*s + 60*s = 4*p + 6, -6*s + 15 = -p for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 36\/10 + (286\/65 - 5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06859 + -1.31891. Round x to 1 dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**3 + 55*j**2 - 380*j + 23. Give m(14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*f - 4*f + 16*f + 34 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 5:29 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -2. Let u(q) = q. Let g be u(x). Let z = g - -7. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 7*g**2 - 4*g + 12. Let d be u(-6). Solve j + 5 = -d for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wx when two letters picked without replacement from txwxxxtkkkwwktxwtwtx.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -27*k - 76. Let i be a(-4). Solve -i*m = -37*m - 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -93 - -98. Suppose l*i = 4*i + 2. Let o(d) = 41*d**2 - 4*d + 11. What are the prime factors of o(i)?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {i: 9, y: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 82853489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1348)\/3033*(-3 + 30).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*t + 51 = -57, 3*t = -5*g + 94. Let s(v) = 1 - g - v + 0 + 7. What is s(0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 e, and 1 y when three letters picked without replacement from {j: 4, e: 7, y: 1, w: 2}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 7*o**2 - 9*o + 7. Let m(k) = 32*k**2 - 58*k + 32. Let g(w) = -11*w**2 + 19*w - 11. Let p(r) = -7*g(r) - 2*m(r). What is -11*h(z) + 6*p(z)?\nAnswer: z**2 - 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -b**4\/12 - 31*b**3\/6 - 75*b**2 + 640*b. Let i be f(-6). Factor -1\/5*r + 3\/5*r**3 + 2\/5*r**4 + 0*r**2 + i.\nAnswer: r*(r + 1)**2*(2*r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 8*h + 11. Solve -t + i + 3 = -3*i, t + i = -h for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2913, -11647, -26205, -46587?\nAnswer: -72793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 5:08 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 212 and 424.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13611 - -13642. Solve -49*r + 18*r = -q for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3580 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 10*p**2 - 497*p - 681. Calculate z(54).\nAnswer: 1641","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24596387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3459681, 3459685, 3459689, 3459693, 3459697?\n\"Answer: 4*g + 3459677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 4:04 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -1 + 1\/6*o**3 + 9*o - o**2. Calculate h(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21769346?\nAnswer: 2, 139, 78307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**2 + 682*t + 1. Let q(z) = -z**2 + z - 1. Determine q(b) - r(b).\nAnswer: b**2 - 681*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3951768.6761 take away 22.6?\nAnswer: 3951746.0761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28321143 divided by -1011.\nAnswer: -28013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 - 28*g**3 + 164*g**3.\nAnswer: 136*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -116, -237, -364, -497, -636, -781?\n\"Answer: -3*w**2 - 112*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/1 + 1)*42\/(-98). Which is the nearest to -1\/2? (a) v (b) -0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69 (base 15) to base 16.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of 2*l**5\/5 + 513*l**4\/4 - 224*l**3 + l + 2667. What is the third derivative of v(w) wrt w?\nAnswer: 48*w + 3078","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60 - (-63844)\/1056 - (2 + 2\/(-3)).\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9192 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - l)*(-l + 3*l - 5*l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 9) to base 8.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and -3987045.838.\nAnswer: -3987043.838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15194 and 81934.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2415359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/16 and (84\/(-288))\/((-9)\/(-60))?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 5*g**4\/3 + 1840*g**3 - 5530*g**2 + 16600*g\/3 - 1845 = 0.\nAnswer: -1107, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 9*i**2 - 10*i + 13. Let x(r) = 2*r**2 + 2*r - 2. Let m be x(2). What is the units digit of u(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -18. Suppose 0 = -v*n + 9*n + 25. Let a(k) be the third derivative of k**4\/24 + 7*k**3\/6 - k**2. Determine a(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -83*d**3 + 6*d**2 - 86*d + 12. Let v(i) = -i**2 + i - 2. Determine -f(m) - 6*v(m).\nAnswer: 83*m**3 + 80*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104\/572 - (-57)\/(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -98*g**3 + 126*g**2 - 30*g + 2.\nAnswer: -2*(g - 1)*(7*g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 539115117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 18 + 2, w = 2*h - 9. Let z = 4063 - 2623. Suppose 5549 = h*k + z. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 31.14614 weeks?\nAnswer: 18837185472000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2132?\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -356, 0 in increasing order.\nAnswer: -356, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = j + 93. What are the prime factors of j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 4, 2\/9, 2.4, -1\/399, -3\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 175 and 19320.\nAnswer: 96600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -12101310 (base 4) in base 15?\nAnswer: -7946","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (1 + 0)) + (1 - -2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 101993 and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l - 7*l + l - 1. Let d(q) = -1. What is d(v) + p(v)?\nAnswer: -3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((5\/(-4))\/(-5))\/((-45)\/(-72)). Let a(k) be the first derivative of 1 + 0*k**2 - k**4 - 2\/3*k**3 - l*k**5 + 0*k. Factor a(h).\nAnswer: -2*h**2*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/2))**(-1\/17)\/((v\/v**(1\/7))\/(v\/(v\/v**2))) assuming v is positive.\nAnswer: v**(279\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r - 11*r - 17*r.\nAnswer: -30*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -22*r + 0*r**2 + 5\/56*r**8 + 1\/2*r**4 + 0 + 0*r**6 + 0*r**7 + 0*r**5 + 0*r**3. Find the third derivative of q(f) wrt f.\nAnswer: 600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -105*j**5 + 1400*j**5 + 2086*j**2 + 684*j**5 wrt j.\nAnswer: 118740*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -9. Let b = a + 4. Let o be b*(5 - 2)\/(-6). Solve o*c + 9 = -c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1364031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 i, and 1 a when three letters picked without replacement from {i: 1, a: 2, b: 4, r: 10}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124104.7 millennia to centuries.\nAnswer: 1241047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 6*m + 5 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -511, -1048, -1611, -2200, -2815?\nAnswer: -3456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q. Let d(t) = 121*t. Calculate d(n(k)).\nAnswer: 121*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1859 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16987 + -16886. Let r(d) = -7*d - 4. What is the remainder when q is divided by r(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-t + 1 - 1)*(63 + 15*t - 63) + 5*t**2 - 3*t**2 + 0*t**2 - 3*t**2 + t**2 - 2*t**2)*(3*t**3 - t**3 + t**3).\nAnswer: -51*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 22*n**2 + 363*n - 12. Determine r(-33).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 977408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1782 by 27.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*z**6 - 28*z**5 - 114*z**2 wrt z?\nAnswer: -360*z**3 - 1680*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 36743*-5.5\nAnswer: -202086.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8946 and 1583550?\nAnswer: 787024350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {c: 3, b: 4, e: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9593 + -47964\/5. Suppose 3\/5 + d*g**2 + 4\/5*g = 0. Calculate g.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 55?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 30 + -25?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*a + 128*a - 268*a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4380270?\nAnswer: 2, 3, 5, 146009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuauauuuuauuuuaaaau. What is prob of picking 1 u and 2 a?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -56?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9886939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -322?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31155394?\nAnswer: 2, 157, 313, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 799131 and 29784.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than -20.15635?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/12*26\/(-13))\/((-2)\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/9 and 4\/27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2591 - -2591.001359. What is v rounded to 4 decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 7*w**2. Let m(o) = -10*o**2 - 7. Let s(d) = 7*d**2 + 5. Let g(i) = -5*m(i) - 7*s(i). Determine h(g(a)).\nAnswer: 7*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 z when two letters picked without replacement from {e: 1, z: 1, g: 4, f: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-77996)\/1302 - -60) + 2*15\/(-504).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 + 3 + 8\/(-2). Let o(h) = -m + 2*h**2 + 7. Let c(d) be the first derivative of 2*d**3\/3 + 2. Give o(c(f)).\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132733 is divided by 33183.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 70\/16539 and -46\/1341.\nAnswer: 49617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -293*n + 24 = -281*n. Suppose -5*i - 4*k - 15 - 15 = 0, -8 = -i + 2*k. Let c be i\/(-1*(-1 + 0)). Put 1, c, n in increasing order.\nAnswer: c, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2586182 greater than 2586184?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 59*d**2 + 15*d + 1. What is the hundreds digit of m(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280 is divided by 29.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2901*r**2 + r - 10815 wrt r?\nAnswer: -5802*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 2 (c) 0.27 (d) -3\/5 (e) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 954, -4, -5 in decreasing order.\nAnswer: 954, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12 + -19 + 30)\/((-1)\/19). What is the highest common factor of u and 2014?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 6 - 1 = 0. Let w = -23 + 35. Suppose l*f + 4*g - 23 = 0, -2*f - 3*g = -0 - w. Solve -s = f*s - 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (93 + (-1 - 2))\/2. Calculate the highest common divisor of a and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-20)\/4)\/((5 - 1)\/(-4)). Let r(o) = -8*o + 10*o**2 - 4*o**2 + 8*o - j*o**2. Let a(k) = k**2. Calculate r(a(l)).\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1421431 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88) + (sqrt(88) - sqrt(88)*-3))*-4 - -2*sqrt(88)*-2)\/(sqrt(8) + sqrt(200)*-4 + (sqrt(8) - (sqrt(8) - sqrt(8)*-4*3))))**2.\nAnswer: 6336\/961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-15))\/((-5)\/(-25)*-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 291*v + 113. Let l be q(1). Calculate the highest common divisor of 2525 and l.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1299188 and 374?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135 and 93105?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3343 is divided by 45.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g + 2*g**2 - 4*g)*(-3 + 3 + 2).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(-1\/2)*a)**(3\/7))**(-42)*(a**(-2)\/(a**(1\/4)\/a))\/(((a\/a**(2\/19))\/a)\/a**(-6)) assuming a is positive.\nAnswer: a**(-3963\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**4 - 3 + 3 + (2*z**2 - 3*z**2 - z**2)*(0 + 2*z**2 + 0) + 48932*z - 16377*z**4 - 48932*z.\nAnswer: -16383*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9115, 9124, 9135, 9148?\n\"Answer: l**2 + 6*l + 9108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 517 is divided by 485.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17697 and 510?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -12. Suppose f*w = -12 + 30. What is the units digit of 3*(240\/w + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/232 and -59\/48?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -27*q + 919. Let v be w(34). What is the second smallest value in -6\/191, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*r**2 - 3*r**2 + 26*r**2)*(-2*r - 2*r + 6*r).\nAnswer: 118*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.15111 rounded to one decimal place?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 10*w = -298. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15257025 and 189.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1824848 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 12*j**2 - 12*j + 14. Let l be x(-13). Suppose 0 = m + l, u + 2*m - 10 = -3*u. Solve -2*k = u*y + 6 + 2, k + 18 = -5*y for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 3*h**2 + 2*h - 151. Is i(25) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 1236.\nAnswer: 1\/1236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*p**3 - 4*p**3 + 0*p**3)*(137 + 38 + 13) as b*p + c + t*p**2 + m*p**3 and give m.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/91*-12 - (-18 - (-8352)\/468)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*b = -5, -2*a + 6*b - 2*b + 4 = 0. Suppose 17*o - 1206 + 135 = a. List the prime factors of o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.02827 - -110.07827. Let f = l - 110. Which is the second smallest value? (a) f (b) -5 (c) -0.3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -3) + (-18 - -5 - (-1 + (16 - 17)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 9*b**2 + 11*b - 6. List the prime factors of l(8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + -30*2 + 6. Let k = c + 78. Calculate the remainder when 43 is divided by k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -43 (b) -2 (c) 2 (d) 34 (e) -33 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15128, -15130, -15132, -15134, -15136?\n\"Answer: -2*z - 15126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 2.777849 days?\nAnswer: 240006153600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3420357 and 202457628.\nAnswer: 199037271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*v - 3*b - 3 = -20*v, -4*v - 2*b = -4. Solve -v*s = -4*n - 8, -5*n - 3*s - 10 = -s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 63*j*w**2 + 2*j*w*y**2 - 37*j*y**2 + w**3*y**2 + w**3*y + 2*w*y**2 wrt w?\nAnswer: 126*j + 6*w*y**2 + 6*w*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 6804?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 1\/((-9)\/(-273)) + (-5)\/15?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t - 15. Let v(u) = 3*u**2 - 4*u - 8. Let s(c) = c + 2. Let p(j) = -4*s(j) - v(j). Give g(p(w)).\nAnswer: 9*w**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -0.5, -8, -3\/7, -0.0715895, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 283683790?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhh when four letters picked without replacement from hhhghhghhhhghg.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (19\/133)\/((-288)\/(-640) + 2\/40). Factor -12\/7*l + 0 + 2\/7*l**2 + p*l**3.\nAnswer: 2*l*(l - 2)*(l + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12834*n = -12815*n + 760 for n.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 - 180716*o + 13711312.\nAnswer: 4*(o - 45103)*(o - 76)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*m = 21*m + 144 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -11. Suppose -20*i + 18*i + 8 = h. Let c(f) = f**3 - 4*f**2 - 2*f + 4. Give c(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -15*h - 5. Let p(b) = -30*b - 11. Determine 9*g(t) - 4*p(t).\nAnswer: -15*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 7*w + 1. Let p(g) = g + 9. Let f be p(-7). Suppose f*l - 8 + 0 = 0. Calculate the remainder when u(-3) is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 483*g**5 + 12184*g**2 wrt g.\nAnswer: 28980*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7168 - -7165. Which is the closest to -0.3? (a) -89 (b) 0.2 (c) g (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 15 = -3*x, -3*k = 6*x - 3*x + 3. Let o(j) = 11*j**2 - 4 + 3*j**3 + 1 + 5 - x*j**3. Calculate the smallest common multiple of o(-11) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101200000112 (base 3) to base 16.\nAnswer: b501f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - (-1 + (-2)\/(-4)). Suppose -4*h + 3*h = 2*g + 429, 3*g + 626 = 2*h. Let d = 212 + g. What is the fourth biggest value in -4, v, d, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 18. Let n = a - -12.5. Let o = n - 5. What is o rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15355\/(-7400) - 132\/(-60).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 12*p - 69722 = -11*p, -3*p = -3*z + 52296. Is z a multiple of 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1143691, -2287386, -3431083, -4574782, -5718483, -6862186?\nAnswer: -8005891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12\/13 in 2656, 7, 2\/341?\nAnswer: 2\/341","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 937740 to the nearest integer?\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 10*h**3 + 1712142*h**2 - 1369722*h - 342430 = 0.\nAnswer: -171215, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/14, 1, 0.3, 0, 7.7, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 560 (b) 49132 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 35*v - 37. What is j(36)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 6*o. Suppose -4*a + 9*a - 250 = 0. Let c(i) = -a*i**2 + 22*i**2 + 11*i**2. Determine c(j(s)).\nAnswer: -612*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 3*m + 3. Let h be a(-3). Suppose 3*o = h*l + 19206, 4*o - l + 0*l = 25602. Round o to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 122145?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 119 and 153?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 22*g + 661. What is the units digit of v(13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -s + 22. Suppose 5*j = 5*f + 5, -4*f = -5*j - 4 + s. Solve 2*c - 4*i = -8, c = j*i - 6 - 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffbbbbffbf. What is prob of sequence bb?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2. Let s(i) = 4*i**2 + i - i + 0*i**2 + 2*i**2. Determine s(v(p)).\nAnswer: 24*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-31)\/35*1 - (-54)\/189. Let o = -38 + 36. Which is the closest to p? (a) -1 (b) -7 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 736452, -17 in ascending order.\nAnswer: -17, 1, 736452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 5*a + 22 = 0, -38*a + 43*a = -20*m + 150 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - t + 1. Let b(j) = 9*j**2 - 8*j + 6. Let k(a) = b(a) - 5*v(a). Is k(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 1301 - 88 = 7*z. Which is smaller: z or 1407\/8?\nAnswer: 1407\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*b*y**3 + 41857*b*y**2 - 887*y**3 + 17*y**2 - 1 wrt b?\nAnswer: -10*y**3 + 41857*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 - -1. Let w = 7799 - 7832. Are a and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*b + 12*b + 16*b)*(-2 - 4*b**2 + 5*b**2 + 4*b**2).\nAnswer: 210*b**3 - 84*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5653 + 5756.68. Let v = -105 + z. What is v rounded to one dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 919 - 634. What are the prime factors of w?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 143381363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 9, l: 3, x: 7}. Give prob of sequence vl.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x**2\/6 + 1538*x + 293248\/3 = 0. Calculate x.\nAnswer: -9164, -64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -1315, -3866, -7685, -12772, -19127, -26750?\nAnswer: -35641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-6) + (-28)\/(-21). Let w(x) = 41*x - 3 - t*x**2 + x**2 - 46*x - x**2. Calculate w(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y**2 - 2*y - 1. Let v be ((-4)\/(-42) - 254\/21)*18. Let n = -217 - v. Give t(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrsseerrpurs. What is prob of sequence er?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 38*m**5 + 5*m**5 + 3*m**5 + (0*m - 6*m + 2*m)*(m**4 + 0*m**4 + m**4) - 5*m**5 - 4*m + 4*m.\nAnswer: 33*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/1262 or 1?\nAnswer: 3\/1262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 33, 64, 95?\n\"Answer: 31*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125) - 3*(sqrt(125) - (sqrt(125) + 0))**2 - (sqrt(10)\/sqrt(2)*1)**2*4.\nAnswer: -20 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 8177100 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 817888656.\nAnswer: 2, 3, 13, 1310719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 26*r + 0)*(2*r - 1 + 1) + (4*r + 0*r - 2*r)*(0*r - 5*r + 4*r)*(2 - 4 + 4).\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 5 (b) -1\/3 (c) -1 (d) 2.3 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -376, -348, -318, -286, -252, -216?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*p + 9*p - 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (64*33\/440)\/(4\/(-10))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6b455a (base 15) to base 13.\nAnswer: -10a702b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**4 - 170*f**3 - 1560*f**2 - 5600*f - 7040.\nAnswer: -5*(f + 4)**3*(f + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.75 + 0.74999952. Round s to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2512 = 4*v + 4*a, -3*a = -5*v - 2*a + 3092. Calculate the greatest common divisor of 460 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -7*q + 4. Let r(b) be the second derivative of -b**3 + 3*b**2\/2 - 10*b - 4. Let m(x) = -x**2 - 7*x - 6. Let i be m(-5). Give i*r(a) - 3*g(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2636.934 and -0.1862.\nAnswer: -2637.1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -m**5\/40 - 3*m**3\/2 + 22*m. Let z(k) be the second derivative of c(k). Let u(g) = 4*g**2. What is z(u(f))?\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, y: 2, i: 4, g: 2, z: 1, o: 2}. Give prob of picking 1 o and 1 i.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, 1, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46.75 + -47. What is v rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/sqrt(2) + 1 + (1*sqrt(38) - sqrt(38))\/sqrt(2).\nAnswer: 1 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 18*m + 7. Is y(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - -298739296.\nAnswer: 298739293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 7*b**3 + 6*b**3 - 15*b**3 to the form h*b + v*b**3 + l*b**2 + k and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22689 + 48056. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.02 + 0.02. Which is the third smallest value? (a) 5 (b) m (c) 2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292 a factor of 154680527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 3 + 5*j**2 - 1\/4*j**4 + 2*j + 2*j**3. Is t(7) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 9*s - 60. Calculate the remainder when 35 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 t when two letters picked without replacement from itqtrtqtttqqtq?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, a: 2}. What is prob of picking 2 a and 2 i?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28 + 2*i + 62*i**3 + 0*i - 124*i**3 + 58*i**3 to the form z*i**3 + c + u*i**2 + o*i and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25 + 17 + 54)*(-4*n + 0*n + n) in the form l + h*n and give h.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 3*c - 4, 4*x = 3*c - 5 - 8. Let h(s) = -s**3 + 2*s**2 + s. Calculate the remainder when (1 - -39 - c) + 3 is divided by h(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 4*l = -0*l + 11, -4*q + 28 = 2*l for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411406.\nAnswer: 2, 205703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 217432700 to the nearest one million.\nAnswer: 217000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 1821*f - 2864. What is the tens digit of m(28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.019 * -425.\nAnswer: -8.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + -1*sqrt(468)).\nAnswer: 15 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/7)*h**(3\/2)*h**(-9)*h*h**19 assuming h is positive.\nAnswer: h**(179\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -4875*n**2\/2 - 4578*n + 9053. What is the first derivative of v(w) wrt w?\nAnswer: -4875","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -5. Let x(z) = 8*z + 2. Let u be x(3). Suppose 5*v - y - u = 3*y, -24 = -w*v + 4*y. Calculate the least common multiple of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 128150 and 20970?\nAnswer: 1153350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 5. Suppose -3*k + 7 = -77. Suppose 5*m = x + a, -3*x = 4*m - 61 - k. What is the remainder when 89 is divided by x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 91 + -89. Let t be (-17 - -13) + (-11)\/i. Let j(p) = p**2 - 6*p - 5. Let a be j(5). Is a equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3205*u + 9617. Calculate b(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.4 + -8.6. What is c rounded to zero dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/6)\/4*(-45)\/105.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -1.8, 229 in increasing order.\nAnswer: -1.8, 1\/2, 229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 5 = 4*r, -3*z - 192 = -388 + 187 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**2 + 22*x - 57. Let d be m(-15). Calculate the greatest common factor of 32 and d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4442 + -97683\/22. Find the common denominator of 83\/10 and n.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + -42 + 26 + -49?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f + 5 = 14*f. Which is the closest to -0.1? (a) f (b) -4 (c) 1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*m**3 + 9*m**3 - 211*m + 105*m + 106*m.\nAnswer: 88*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -105, -4, -120, -3, 14, -5 in decreasing order.\nAnswer: 14, 3, -3, -4, -5, -105, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -79\/290 + 5\/29. Sort k, 3, -1 in descending order.\nAnswer: 3, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from mmmllmmlmmmmmmm?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ez when two letters picked without replacement from {c: 9, e: 10, z: 1}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(54\/(-12)))\/((-2)\/(-792)). Let g = -260 - k. Solve 0 = g*h + t + 13, 0 = -4*h - 4*t + 1 - 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 720 (base 9) to base 16\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.0627, -2, -44?\nAnswer: 0.0627","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 219, 437, 651, 861, 1067, 1269?\n\"Answer: -2*k**2 + 224*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + -1.1. Let g = 4 + -3. Let j = -47 + 51. What is the second smallest value in g, v, j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 76 = 64. Suppose 3*f - 42285 = t*v, 18*f = 13*f + v + 70475. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 6*l - 15. Let s be h(8). Let i(z) = -12*z**3. What is i(s)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 2 + 4. Let o = w - -18. Solve 2*c = -2*c - o for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 + 0*q + 4*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2. Let h(f) = -4*f**2 + 153*f - 11. Let b(z) = 77*z - 11*z**2 - 6 + 14*z**2 - 5*z**2. Let o(w) = 11*b(w) - 6*h(w). Give k(o(s)).\nAnswer: -4*s**4 + 284*s**3 - 5041*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(54)\/sqrt(2) - sqrt(864)\/sqrt(8).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1804172 is divided by 49?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r + 2. Let v = 380 + -380. Determine w(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/9)\/((-7)\/(-42)))\/(1\/17).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 10 = 4*h, 4*h + s + 3*s = -4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 70, 104, 138, 172?\nAnswer: 206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -1254*u**2. Let x(t) = 5*t. Determine x(y(v)).\nAnswer: -6270*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -3*y - 68, 10822*x - 10823*x - 24 = 4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62 (base 11) to base 14.\nAnswer: -4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (1 + 1 + 79 + -81).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6789 - -0.2?\nAnswer: -6788.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/5 (b) 0.17 (c) 1.3 (d) -0.4 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -0*w - 209. Let b = w - -366. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -5. Suppose -f*i - 15 = -i. Let r be i*(-2 + 276\/(-9)). What is the highest common factor of 14 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 877 + -1?\nAnswer: 876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {c: 6, v: 6}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21953 - 21952.9999433. Round g to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 4*n = -4*y + 8, 2*y - 3*n = 8. Let l be y + -38 + (4 - 2). Let u = -6 - l. Does 16 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**5\/15 - m**4\/8 + 5*m**3\/3 + 9207*m**2. Let h(x) = -11*x**2 - 8*x + 29. Let f = 11 + -8. Determine f*h(a) - 8*z(a).\nAnswer: -a**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -5*j + 120, j = 3*c + 6*j - 330. Which is greater: 106 or c?\nAnswer: 106","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 16*r + 36. Let t be w(-2). Solve 4*g = -0*g - 4*s + 16, t*s - 18 = -2*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 5) + 0 - (-12)\/(-4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - -4. Let m(y) = y**3 - 7*y**2 + 3*y - 14. Let d be m(x). Factor -5 - 4 + 3*p**3 - 2*p**2 + 7 - d*p.\nAnswer: (p - 2)*(p + 1)*(3*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.000004 + -5. What is f rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 675\/45 + 8\/(-44) + 130\/(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4115509, -8231112, -12346715, -16462318, -20577921?\n\"Answer: -4115603*v + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and 0.144?\nAnswer: -1.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*(-2 - 12\/(-8)). Let y(o) = -2*o**3 - 4*o**2 - 3*o. Calculate the remainder when 15 is divided by y(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - 0.09. Let t be ((-17)\/3 + 5)\/(-2). What is the closest to t in q, -5, -0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 0 + 7*u - 23*u + 0. Let r(z) = -6*z - 11. Let q(h) = h + 2. Let j(g) = -11*q(g) - 2*r(g). Calculate y(j(d)).\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.84 - 1.8399975. What is i rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1228 divide 1035085250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275)\/(-1*sqrt(5)) - sqrt(55))*-6)\/(3*sqrt(45) + sqrt(180)*-2).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2.6*-0.10901286\nAnswer: 0.283433436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -304\/3*j**2 - 33*j**3 + 1\/3*j**4 - 68*j + 0 = 0. Calculate j.\nAnswer: -2, -1, 0, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2. Let i(p) = p - 3. Let j(m) = -6 + 8*m - 5 - 4*m. Let x(z) = -22*i(z) + 6*j(z). Give h(x(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 36*i**2 + 8757*i. Let f(z) = 26*z. Calculate y(f(j)).\nAnswer: 24336*j**2 + 227682*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -101*n**4 - 2*n**2 - 14*n + 3872.\nAnswer: -404*n**3 - 4*n - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1283892601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 134 divided by -67\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(4\/9)\/z)\/z*z**(2\/9)*(z**(1\/4))**(-1\/2) assuming z is positive.\nAnswer: z**(13\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.36 + -0.66. Let j = -3 - -2.9. What is the nearest to 0 in h, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/56 and 19\/434.\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*q - 66*q + 292899 = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 15*m + 6. Let l(k) = -2 + 5*k + 2 + 1 - 4*k. Let t(b) = 6*l(b) - z(b). Let a(x) be the third derivative of x**5\/30 - 8*x**2 + 3*x. Give t(a(w)).\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2856*g**4 + 4329 wrt g.\nAnswer: -11424*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1715 and 127253.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3958484 divided by 2\nAnswer: 1979242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2250 (base 12) in base 16?\nAnswer: -edc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((32\/14)\/8)\/((-30)\/(-42))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -81.000053 - -81. Round u to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 + 0)*(-4 + 5*d + 4) - 4*d - 2*d + 5*d + (-4*d + 6*d + 19*d)*(4 + 0 - 3) in the form l*d + m and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**6)**36\/(u**1*u)**(-17) assuming u is positive.\nAnswer: u**250","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afaaafyqaqfqaqqaq. Give prob of sequence fa.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g = -4*i + 108, 29*g + 57 = i + 20*g for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -469*v + 32828. Determine w(70).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 - 15 - 28*i**2 + 30)*(i - i + i**2).\nAnswer: -28*i**4 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**6\/180 + n**5\/12 - n**4\/2 - n**3\/3 + 19*n. Let r(z) be the second derivative of u(z). Factor r(g).\nAnswer: -2*(g - 3)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195144 is divided by 2602.\nAnswer: 2596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11205?\nAnswer: 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b = 30 + 47. Solve -3*z = 4*i + b, -2*z + 0*z - 3 = i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 99 - -3?\nAnswer: a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5118 = 24*d - 17994. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - k - 2*j + 9, 9 = -k + 4*j. Let s(z) = 15*z**2. Let p be s(k). Solve 0 = 5*x - p, 0 = -3*a - x + 3*x for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.50786 hours in nanoseconds?\nAnswer: 239428296000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2 + 38*c + 40. Let r be i(-18). Suppose 0 = 2*v - n - 336, r*v - n - 769 = -93. Suppose 0 = -j + v + 108. What are the prime factors of j?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 524 - 513. Solve -24 = 35*k + x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 3. Let z(o) = -2*o**3 - 8*o**2 - 16*o - 2. Let b be z(-4). Let r(h) = 1 + 3*h**p + h**3 - 5 - b*h + 58*h. Determine r(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7 + (-1 - -11))\/(0 + 3). Let l(d) = -25*d**3 - 2*d**2 + 2*d - 1. Give l(a).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36091656 and 122472?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66402?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 154*d + 195. What is the units digit of k(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18dac (base 16) in base 13?\nAnswer: -37451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -3 (b) -1\/4 (c) -3\/11 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 1)\/(57\/513)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207*z + 70197 = 153337 + 257582. Is z at most -1648?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-53 - 10 - -23) + -14.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u - 1. Let o be l(0). Let f be (2 + -3)\/(o\/(-13)). Let j(t) = t**3 + 12*t**2 - 13*t + 4. Let g be j(f). Solve -4 = g*k - 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/7)\/(2\/(-14)). Let q = 14 - j. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 4 = 4*g. Let j be 46\/(-14) + 2\/7. Suppose 2*s - 13 = 3*d, -2*d = 2*d - 2*s + 14. Sort j, d, g in descending order.\nAnswer: g, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -118*f**2 - 313*f - 23. List the prime factors of r(-7).\nAnswer: 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 364984, 729990, 1095010, 1460038, 1825068?\nAnswer: 2190094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 25 - 23 = 0. Let q = 5 - 0. Suppose -5*d - 2 = -7, d - 61 = -q*s. Calculate the least common multiple of s and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 4*j - 12, 1 = -q + 3*j + 2. Let o = -3 - q. Solve h = -3*w - 0*w + 8, 5*h - 23 = o*w for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -29*k**2 - 54*k - 312. What is l(-5)?\nAnswer: -767","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 83?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*0.3557\nAnswer: -0.24899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11203300202 (base 4) to base 14.\nAnswer: 29d08a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3599 = 3*i, -5*i = -5*y + 4*y - 6001. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 12:37 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 569288, 2277168, 5123634, 9108686, 14232324?\n\"Answer: 569293*s**2 + s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2261*j - 3001*j + 1306*j - 2963*j + 1132*j as z + u*j and give u.\nAnswer: -5787","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 6122176 = -21477824. Round q to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 + 3466736*f + 3466732.\nAnswer: 4*(f + 1)*(f + 866683)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30\/401 + 79949\/2005. Let p = -40 + f. Let t = 0.16 + -2.16. Do t and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, g: 1, u: 11}. What is prob of picking 3 u?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20873*g - 756 = 20837*g. Solve 5*w + 3*b = -19, g + 1 = -4*w + b for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqmd when four letters picked without replacement from {d: 8, q: 7, f: 3, m: 2}.\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 10973, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -78213966 at most as big as -78213968?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 145 and 145 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 minus 8313377?\nAnswer: -8313396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.244 + 0.056. Let o = h + -2. Let j = -19.668 - -14.668. Which is the third biggest value? (a) o (b) j (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(-1)\/((-6)\/(-16)). What is the second derivative of 2*p + q*p**3 - 4*p**3 - 2*p**3 wrt p?\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 - 38. Let a = 15 - q. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 7:10 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17*62\/(-31)*(-7)\/28*4?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z - 5. Let f(i) = -23*i + 21. Let c(h) = 2*f(h) + 9*m(h). Let s(u) = -1. Let a be 1\/(1\/(1 - 2)). Calculate a*c(k) + 5*s(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/((-860)\/(-7353))*(-68)\/(-153)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 (base 12) in base 9?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, s: 1, d: 2, t: 1, r: 1, g: 2}. Give prob of picking 2 s and 2 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-2)*(-4 - -2). Suppose -3*i = -10 + 20 - 37. Sort i, c, 4, -2\/3 in increasing order.\nAnswer: -2\/3, c, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3121230 (base 4) in base 16?\nAnswer: 366c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/17 - 2306*k\/17 - 424580\/17.\nAnswer: -2*(k + 230)*(k + 923)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 1 - 3 + 3*m + 1 - 4*m. Suppose -5*s = 3*r + 17, -4*s = -4*r - 14 + 2. Let x be g(s). Solve x = 4*h - 3*h - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3103747 is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c - 4*c + 35 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 - 9*p + 7. Let h be f(6). Let x be ((-264)\/70)\/((-10)\/h). Let c = 289\/21 - x. Find the common denominator of 89\/2 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (553\/(-21))\/(0 + 3\/(-9))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 1. Let f be p(1). Suppose f = 5*o + t - 6, 3*o + 0*o + 3*t = -6. What is the remainder when 5 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4*b**3 + 3*b**2 - b**2 + 1 + 4*b - 5*b. Let q be t(2). Let a be 35\/q - (-1 - 0). Which is smaller: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 3*a + 3 - 4, 0 = -z - 4. Let k(g) = -2*g + 10. What is k(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1153454 to 4 dps.\nAnswer: -0.1153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9)\/(4 + (-116)\/28).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -2*a**3\/3 + a**2 + a + 1. Let f = 124 - 107. Suppose f*u - 45 = 6. Calculate k(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1537307*-12.7\nAnswer: 19523798.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 323 + 107 = 0. Let r be (-3 + 1)\/((-138)\/(-70) + -2). Let j = m - r. Solve j*w + w - 6 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 4.45454\nAnswer: -1.336362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12955 = -5*h + 4*j, -j - 10375 = -4*h - 0*j. List the prime factors of h.\nAnswer: 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 = 22*w + 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1570199 is divided by 1570177?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -t**6\/6 + 26*t**5\/5 + 7*t**4\/4 + t**3 - 625*t + 5267. Find the third derivative of n(u) wrt u.\nAnswer: -60*u**2 + 624*u + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4)*a\/a**(-1\/4))\/(a\/a**(-9)*a*a**9\/a) assuming a is positive.\nAnswer: a**(-87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 549652 (base 11) in base 15?\nAnswer: 124adb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64\/165 + -2\/165. Which is the nearest to p? (a) 0.7 (b) 2\/9 (c) -1\/9 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3060114704 to the nearest integer?\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -9*d + 39. Calculate j(-2).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + 1. Suppose -6*i + 26 = f*i. Calculate the common denominator of 37\/33 and 3 + (3423\/(-495) - i\/(-11)).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -256 - -241. Suppose 0*f + f + 2*b + 9 = 0, -3*f - 2*b - 19 = 0. Is -65*((-1)\/3)\/(f\/p) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 - 48571677?\nAnswer: -48571649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 13, 2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -8*v**2 + 17*v**2 - 8*v**2. Let g(t) = 37*t. Calculate g(n(q)).\nAnswer: 37*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*p - 3*p - 96 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*1\/(-2)*0. Is 15 a factor of -26*(d - 1) - 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 73*u**2 + 20*u - 3. Suppose 118*b - 24 = 124*b. What is the thousands digit of x(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + 0. Let g(i) = i**3 - 9*i**2 + 12*i + 13. Let r be g(7). Which is greater: w or r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -169, -189, -223, -277, -357, -469, -619?\n\"Answer: -r**3 - r**2 - 10*r - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -36*m**3 + m**2 + 2*m - 3. Let y be u(-2). Suppose 2*o - 80 = o - 4*g, 3*o + 3*g - y = 0. Round o to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 7:27 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/14, -743, -0.154.\nAnswer: -743, -0.154, 1\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)*-2*-5 - (-2 + (sqrt(68) - (1 + sqrt(68)))**2).\nAnswer: 1 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 291 + -294. Calculate the lowest common multiple of 12 and (y - -33)*(-84)\/(-63).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - 40*x + 45*x + 21, 17*k + 5*x + 3 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 s when four letters picked without replacement from nsbiainbnnnnnnapnias.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-410)\/(-287)*2\/8*(-208)\/130*2.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 376367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 5 = -m, 0 = -4*m - 28*h + 32*h - 28 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 9*q**2 - 24*q - 19. Let u be b(-11). Let y(s) = s - u*s - 3*s + s**2 - 10 + 3*s. List the prime factors of y(-8).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3648 = 7*d. Is 28 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -5*z - 29900008, -3*u - 17939988 = -2*z + 5*z. What is z rounded to the nearest 100000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23062297 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154 = 3*u + 2*a, -2*u + 5*a + 109 + 0 = 0. Suppose 2*p - q - 51 = 0, 4*p - 5*q = 3*p + 21. What is the remainder when p is divided by u\/6 - (-5)\/15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 211 divided by -1.\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*p + 8*p + 8*p)*(-14*p**2 - 7*p**2 + 13*p**2) + p**3 + 2*p**3 - 5*p**3 as n*p**3 + w + z*p**2 + t*p and give n.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 1732*p**2 + 2474. Let g(x) = -8666*x**2 - 12370. Let l(a) = -3*g(a) - 16*y(a). What is the derivative of l(v) wrt v?\nAnswer: -3428*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.01 and -103349.\nAnswer: -103348.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-3))\/(2\/6). Suppose v*f + 5*p = -7, 0 = -5*f + p - 2 - 2. What is the units digit of (f\/(-3))\/((-3)\/(-9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19020)\/2219*(-28)\/(-6)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/9*-9*1. Suppose -u - 1 = 4*x + g, -5*u - 20 = 0. Sort -5, 0.3, x in increasing order.\nAnswer: -5, x, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*d**3*y**2 + 12144*d**3*y + 34*d**2*y**4 - 5*d*y**2 - 2*d*y wrt y?\nAnswer: -6*d**3 + 408*d**2*y**2 - 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*f + 38. Let v = f + 35. Let a = v + -9. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 3:41 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -43*w**2 + 78*w**2 + 64 - 36*w**2 + 26*w**3 - 2*w. What is the second derivative of s(k) wrt k?\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 502.7 and -10.888?\nAnswer: -5473.3976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3310.208 centuries to years.\nAnswer: 331020.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 0*a = 3*a + 5, 2*p + a = 13. Solve 0 = 4*t - 5*t - 4*s - 8, p*t + s + 17 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.059*38.\nAnswer: 2.242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 8*n + 38. Determine o(-10).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 3*s**2 - 16*s - 1. Let k be (4 - 1*(4 + -9))\/((-3)\/(-2)). Determine a(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 11247 + 30*v**2 - 11160 + v**5 + 4*v**5. Find the second derivative of s(d) wrt d.\nAnswer: 300*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -21, 0.4, 27, -0.4, -1\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-6\/5)*x\/(x\/((x**(3\/7)*x)\/x)))\/(x**(-1)*(x\/(x\/(x\/x**(4\/13)))*x*x)\/x*x) assuming x is positive.\nAnswer: x**(-666\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*r - 62, 243*r - 238*r - 113 = 3*h. What is the remainder when 4747 is divided by r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63\/542 + 104\/271. Factor 0*m + s*m**2 + 0 + 0*m**3 - 1\/2*m**4.\nAnswer: -m**2*(m - 1)*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33 + -10013?\nAnswer: -3320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 1:26 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*z**2 - 26*z**2 - 27*z**2 + 914*z**3 + 81*z**2 + 10*z.\nAnswer: 914*z**3 + 10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -18. Suppose -26 + j = -9*q. Solve 3*h = -q - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(7\/3)\/o**(-4\/3))**(-40))**(16\/7) assuming o is positive.\nAnswer: o**(-7040\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1886.759 and 11221.31.\nAnswer: 13108.069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 146 = -4*l, 1 = 4*l - 3. Let p(s) = -42 + 96 + 5*s - w - 3*s. Calculate p(8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -161 (base 8) to base 12\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 49.1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7488 = -19*h - 20*h. Calculate the greatest common divisor of 64 and h.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 51575 = -11*k - 5*c, -3*c = -3*k + 38688. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1109*p = 1107*p - 5*l + 4*l - 115, -4*l + 732 = -9*p + 172 for p.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**3\/11 + 22060*b**2\/11 - 110262*b\/11 + 132300\/11 = 0. Calculate b.\nAnswer: 2, 3, 11025","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53550?\nAnswer: 2, 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 529404596?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.26 + 1.24. Let s = -7.03 + 0.03. Let b = s + z. Sort 2, b, 0.1.\nAnswer: 0.1, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z**2 - 41*z + 618. Give i(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 0, -14, 2370 in decreasing order.\nAnswer: 2370, 4, 3, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 157459148 divided by 17983\nAnswer: 8756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1020 - -1030. Calculate the remainder when 119 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202133 + -1032011210?\nAnswer: -1031203011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.23 in 0.2, -2\/11, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a millennium in centuries?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 34 = u, -5*u + 37 = 3*y + 9. Which is greater: y or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 10*h**2 - 108*h - 296. Let s(l) = -20*l**2 + 271*l + 590. Give -2*s(o) - 5*u(o).\nAnswer: -10*o**2 - 2*o + 300","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h**3 - 10*h**2 - 5*h - 1. Is g(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41932 + -27539. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-252)\/(-10))\/(23\/1610*(-28)\/2)\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1111001010101010 (base 2) to base 5\nAnswer: 3441442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7550 + 7532. Let f(m) = -2*m - 13. What is f(l)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 740 = 6*t. Let s = t + -129. Solve 20*o + 5 = s*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38213 and 801752?\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -122.9 (b) -2 (c) 1 (d) 0.1 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 31 = 26. Let r(h) be the first derivative of h**2\/2 - h - 2. Let m(f) = -3*f + 1. Calculate k*r(i) + 2*m(i).\nAnswer: -i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -92*f**4 - 2 + 87*f**4 + 6 + (-f**3 - 3*f**3 + 3*f**3)*(0*f - f + 0*f) to the form i + b*f**2 + o*f**4 + v*f + l*f**3 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 452*t - 48 = 455*t for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/9*4692\/(-7820)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 4*z**2 - 1. Let c be 6*-1*3\/9. Determine x(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.06 + 0.06. Let k(f) = -4*f - 31. Let h be k(-7). Let r be (2 - 1) + (h - (-15)\/7). Sort a, -1\/2, r, -2\/13 in decreasing order.\nAnswer: r, -2\/13, -1\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.7, 0.2, -6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1385598029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3268)\/817*(-2)\/5*(-3050)\/(-80)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2530*j = -2483*j + 94. Let r(v) = v**3 + 2*v**2 + 4*v + 4. Determine r(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of y**7\/1050 - y**6\/600 - y**5\/75 + y**4\/30 - 237*y**2\/2 + 12*y. Let v(n) be the first derivative of b(n). Factor v(f).\nAnswer: f*(f - 2)*(f - 1)*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0, 4, -2546, -1, 2 in ascending order.\nAnswer: -2546, -1, 0, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6 + 0.6095. What is i rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -255, -517, -787, -1065?\nAnswer: -1351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.94 + 0.84. What is j rounded to 1 dp?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16903517 by 1.\nAnswer: -16903517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 137 * -0.03\nAnswer: -4.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14581 - 14573. Solve -5*y - d = v, -31*v + 27*v - 7 = -5*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/(-27))\/(-1 + (-230)\/(-228)). Solve -28*c - x*c = 728 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, p: 2, x: 1, r: 2}. What is prob of picking 1 r and 2 p?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/9, -0.4, 3\/4, 9, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13155041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {j: 4, x: 3, b: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - 1 - 3 - -5. Let b(i) = -3*i**2 - 9*i + 10. Let j(x) = -4*x**2 - 9*x - 2*x + x + 11. Let t(s) = -5*b(s) + 4*j(s). Give t(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 3*s + 7. Let x be l(-4). Suppose f = x*g - 92, -6*g + 3*g = 3*f - 96. Calculate the common denominator of ((-1)\/(-3))\/(10\/(-276)) and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 400 by -16.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 11:15 AM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 + 21 + 0 + -2 + (5 - 0).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 + -33. Let k be 159564\/5 + 100\/(-125). Suppose u*o = o + k. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.507 * 0.28.\nAnswer: 0.14196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l. Let i(j) = -3. Let y(t) = i(t) + s(t). Calculate the least common multiple of 5 + 30\/45*(-3)\/(-2) and y(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 3 - 3)*(4*n + 9*n - 3*n)*(n + 0 + 0)*(4 - 3 - 2).\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 614 divide 58177728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lh when two letters picked without replacement from lhxxmhhxmm.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 5*j**2 + 6*j - 4. Determine b(5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -4 (c) 3 (d) -20429\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 807 + 1?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -6 - 46. Let h = 36 + m. Let f be (2\/(-4))\/(3\/(-66)). Calculate the highest common divisor of f and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 386\/1149 + -1\/383. Suppose 4*t + 12 = 10*t. Factor x*r**3 + 5\/3 + 11\/3*r + 7\/3*r**t.\nAnswer: (r + 1)**2*(r + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -6*t**3 - 2*t**2 + 3*t - 4. Let j(q) = -2*q**3 - q**2 + q - 1. Let o(x) = 11*j(x) - 4*z(x). List the prime factors of o(3).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1936802, 1936801, 1936800?\n\"Answer: -x + 1936803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38882360 divided by -209.\nAnswer: 186040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11806511257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308 is divided by 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.810442 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - p - 20 = p, -5*s + 5*p - 20 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 5*q - 1732, -q + 3*q - 8 = 0. Suppose -995 = -3*x + 2*r + 751, -o = -3*x + 4*r. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2148 divided by -716\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**5\/60 + j**4\/12 - j**3\/3 - 179*j**2. Calculate u(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*d = -77*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of 419*g**5\/20 + 87*g**3\/2 - 2*g - 27. Find the second derivative of a(u) wrt u.\nAnswer: 2514*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a week in minutes?\nAnswer: 9072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12676*a + 7158*a - 502138 = 0 for a.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-10))\/(10\/25).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 - 57*l + 381. Let p be w(20). Solve 15*t = p*t + 130 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k**2 - 4*k**2 - k**2 + (-k - 3*k + 2*k)*(0*k - 6*k + 2*k))*(-9 + 7*k + 9).\nAnswer: 63*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 + 69. Let o = p + -32.1. Which is the second smallest value? (a) -0.4 (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -845 = -31*r - 969 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -73641, -147288, -220935, -294582?\n\"Answer: -73647*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3244*k + 3244*k - 79*k**3.\nAnswer: -79*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -78 and -176076276321.\nAnswer: -176076276399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (29\/14 + 0)\/(990\/231). Let z = -11\/15 + w. Which is the closest to -3? (a) -5 (b) 6 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1338*d**4\/13 - 18623626*d**3\/13 - 74534108*d**2\/13 - 74695736*d\/13 - 222640\/13 = 0. Calculate d.\nAnswer: -13915, -2, -2\/669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 65 = -1641. Let s = h - 562. Let x = s - 126. Is 18 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2341*t - 38127 = -10035 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4422 divided by 6\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5*c - 32. Calculate w(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (9 + 7 + -9) - -12?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*h**3 + 51*h**3 - 27*h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**5 - 1718*c**3 + 38*c**2 - 3065120*c.\nAnswer: -40*c**3 - 10308*c + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -577, -1126, -1651, -2146, -2605, -3022, -3391, -3706?\n\"Answer: d**3 + 6*d**2 - 574*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 142444293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 1.27, -5, 0.27 in descending order.\nAnswer: 5, 1.27, 0.27, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 - -7)*(2 + -1) - (45 - 29509)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*c - 2*c - 20. Let l be (-1)\/c + (-1155366)\/(-24). Suppose 79860 + l = -t. Round t to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*((d**(-2\/33)*d*d*d)\/d)\/d*d*d*d*d**(-2\/57)*d*d)\/(d**(-2))**19 assuming d is positive.\nAnswer: d**(9385\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 5:35 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - d + 8608. Is 15 a factor of d\/36 - (-6)\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 150600 + -11599858\/77. Let m = -351\/7 - w. What is the common denominator of 1\/12 and m?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 60? (a) -7 (b) 4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6513024?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182271470.\nAnswer: 2, 5, 18227147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*c - 5*a - 95 = 7*c, 4*c = 8*a - a + 66 - 67 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -813, -7492, -25873, -61800, -121117, -209668, -333297?\n\"Answer: -974*s**3 - 7*s**2 + 160*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 7:55 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 0.023?\nAnswer: -5.023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61 - -57. Sort -1, 3, f in descending order.\nAnswer: 3, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 150, 4.\nAnswer: 1, 2, 4, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 2 - 1. Let z(b) = 5*b + 4. Let k be z(-2). Let i(o) = 2*o + 14. Calculate the lowest common multiple of i(k) and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**5\/5 + 9*k**4\/5 + 41*k**3\/5 - 57*k**2\/5 - 8*k + 48\/5 = 0. What is k?\nAnswer: -4, -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 810 is divided by 400?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2 + 25*z + 24. Let x be l(11). Which is the third smallest value? (a) 4 (b) x (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 422361 and 21?\nAnswer: 2956527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -g - 0*g, 3*g + m = 16. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 4 - 21)*(0 + 0 - 2*i)*(4 - 23 + 0)*(-6 + 6 - 2).\nAnswer: 3116*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q + 6*q = 7*q + 114 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 91042 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -715*x - 701*x + 1406*x.\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 - 32. Suppose -5*t = -t + m - 72, -5*m = -v*t + 115. Calculate the remainder when 73 is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/7 + (-148)\/(-28). What is the tens digit of q + (-2)\/1 - -69?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1967612.857 and -648.\nAnswer: 1966964.857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b9d + -170?\nAnswer: -1d1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82128034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58 + -56. What are the prime factors of (12 - 2)\/(f - 90\/46)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -669, -2861, -6489, -11553, -18053, -25989, -35361?\nAnswer: -46169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 + 14*o**3 - 14637432290*o + 14637432290*o.\nAnswer: 14*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-28)*-12 + 18\/(-7).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1305 is divided by 570.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 1476*i + 12. Let x be k(5). Suppose 5*z + x = -z. Let l = 2109 + z. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90232 and 8608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5)\/l**(-8))\/((l*l**(2\/3))\/l)**(23\/2)*(l**(-1))**40*(l\/(l\/l**0))**38 assuming l is positive.\nAnswer: l**(-134\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -5.4. Let p = 75 - 75.3. Sort r, p, -1 in decreasing order.\nAnswer: r, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 28*g - 123. Let f be 6\/(-2)*(-4)\/(-3). Calculate the remainder when o(-19) is divided by ((-18)\/f - -2)*2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 64. Suppose -z - 3*t = -56, -z = 2*t - t - k. Let i = 57 - z. Calculate the smallest common multiple of i and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -35*d + 37*d - 10, -2*d + 12 = -2*q. Solve 0 = -2*y - d*w + 20, -w = 5*y + w - 18 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three eighths of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 573711013.\nAnswer: 4621, 124153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 3*k**2 - k - 12. Let s be j(-4). Solve -3*u + s = 5*o, 2 + 7 = 5*u + 4*o for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 272*b - 6 - 1 + 12 + 0 to the form g*b + p and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000051535 to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 55085587 and 0.019?\nAnswer: 55085586.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j + 22. Let o be p(13). Suppose 6*d = o*d - 288. Suppose -w + 4*w - d = 0. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1275 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3795249, 7590491, 11385727, 15180957, 18976181?\n\"Answer: -3*o**2 + 3795251*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-2) - 123\/(-6). Suppose 0*z = 3*z - h. Solve -v + 4*l - z = 13, -2*v + 8 = 4*l for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.56 + 0.06. Let b = -161.3 - -161. What is the second biggest value in f, b, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 110.8219 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from vncnnnvmmenmem?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 138*j + 2 - 68*j - 72*j + 3*j**4 - 7*j**2 + j**3 as k*j**4 + v*j**2 + o*j**3 + c*j + a and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**4 + l**2 + 1 - 3 + 39*l - 6*l**4 + 2*l**3 - 37*l in the form a + n*l + j*l**2 + p*l**3 + r*l**4 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 9 - (31 + (-9 - 27)) - (28 - 4).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5187*y**3 + 1992*y**3 + 2236*y**3 + (0*y**2 + y**2 + y**2)*(4*y - 6*y + y))*(2 - 3 + 2) to v*y**3 + k + u*y**2 + b*y and give v.\nAnswer: -961","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 10*v + 2. Let f(i) = 12*i - 1. Let x(z) = -23*z + 1. Let b(l) = -5*f(l) - 3*x(l). Let s(c) = -7*b(c) + 6*t(c). Differentiate s(y) wrt y.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*38\/95*(-45)\/(-21)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, q: 2, p: 1, g: 2, i: 2}. What is prob of picking 2 q, 1 i, and 1 g?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 4:35 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 12) to base 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*l. Let q = l + 3. What is the remainder when 12 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 + 60. Suppose -9 = -4*h + x. Let u = -13\/2 + h. Is 1 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/(-2))\/(1 + -2). Let j be 200\/(-14 - (-1122)\/80). Suppose -o + q*o = j. Round o to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*a**2 + 87*a + 27.\nAnswer: -(a - 9)*(10*a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 40213 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/3 - 2*v**3\/3 - 2*v**2\/3 + 2*v\/3.\nAnswer: 2*v*(v - 1)**2*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**2\/11 - 206992*v\/11 + 620958\/11 = 0 for v.\nAnswer: 3, 103493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**3 + 64*b**2 - 62*b. Give p(31).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 238\/4 + (-3)\/(6\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (166 - 84) + -62 + 50.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-4)*(-18)\/(-27). Let c(m) be the first derivative of -m + m**2 - 1\/3*m**3 - x. Factor c(d).\nAnswer: -(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -3. Suppose -l = 3*o + s*o - 105, l = -o + 17. Is o a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26*(3\/((-18)\/(-10)))\/(-25 + (-620)\/(-24))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.17 + -2.83. Which is the second biggest value? (a) -0.2 (b) w (c) -4 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 87. Let h(o) = -o + 87. Determine -4*h(m) + 3*u(m).\nAnswer: m - 87","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11 + 7)*2\/(-8). Let y be -8 - (n - 3 - 2). Which is the third smallest value? (a) 3 (b) y (c) 4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3594 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j - 4. Let r be z(4). Suppose -11*i = -r*i - 15. Solve -5*s - 2*w + 17 = 0, 6 + i = 5*s - 4*w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 60*q + 77*q - 213*q = -75*q - 19, 2*a + 6 = 2*q for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 399168 less than 0?\nAnswer: -399168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (8 + (5 - (6 + 4))) - -5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13967?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4*t + 16. What is p(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**4\/24 - 8*d**2. Let o(k) = 2*k**2. Let s(z) = -9*z**2. Let m(t) = -24*o(t) - 5*s(t). Determine m(c(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 0.3 (c) 0.1 (d) -4\/7 (e) 1.6796\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -2, 3 in decreasing order.\nAnswer: 3, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 2, -7.6 in increasing order.\nAnswer: -7.6, 3\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 14, 60, 128, 212, 306, 404, 500?\n\"Answer: -g**3 + 17*g**2 + 2*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/2))**(-7\/10))**(-44)*(o\/((o\/o**(4\/7))\/o)*(o**(1\/4)*o)\/o)\/((o*o**4)\/o**0) assuming o is positive.\nAnswer: o**(1711\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(176) + (sqrt(176) + -4 + sqrt(176) + sqrt(176) + -4)**2)*2.\nAnswer: -376*sqrt(11) + 3302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4216 - -7006?\nAnswer: 2570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 53165*x - 4. Let u be v(10). Let f = u + -301646. Round f to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.2 and 410?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 280, -2, -1, 0 in decreasing order.\nAnswer: 280, 2, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*a**4*y**2 - 741244*a**4*y - 34*y**2 + 216*y + 306 wrt a?\nAnswer: 60*a**3*y**2 - 2964976*a**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and 3.765?\nAnswer: 3.465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**3 + 74*q**2 - 264*q = 0 for q.\nAnswer: 0, 4, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**3 - 4*b**3 - b**3)*(-3 + 2 + 5) - 5*b**3 + 0*b**3 + 2*b**3.\nAnswer: -11*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -6\/1313 (c) -0.4 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 367 - 358. Is 2\/(-4)*(-2*151911)\/w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -67*l + 676. Determine c(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24391 - 24393. Which is the third smallest value? (a) 178 (b) -2.2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331313.\nAnswer: 17, 19489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2958744, 2958746, 2958752, 2958762, 2958776?\n\"Answer: 2*j**2 - 4*j + 2958746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + 302 = 3*d + 4*z, -2*d - 5*z + 186 = 0. Calculate the remainder when d is divided by 29.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -3. Suppose w - 7 = 4*i + 102, 2*w = -l*i + 153. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 0*q - 392. Let w = -107 - q. What is the remainder when w is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 49 = -16. Let c(q) = -q**3 - 5*q**2 - q - 1. Calculate the remainder when p is divided by c(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -765 + 769. Which is the nearest to 35? (a) 1\/4 (b) f (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - -2 - (18 - 15). Let k = -4630900403\/8855 + 3660785\/7. Let d = 20\/23 + k. Which is smaller: v or d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 14*u**2 + 13*u - 11. Is q(15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2560 by -512.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208 + (23\/6 - (-35)\/(-42))?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p - 1. Let o(z) = z**2 - 6*z - 7. Let g(b) = -4*j(b) + o(b). Let t be g(4). Suppose -u = -2*k + k, 2*u = k - 5. Put t, 2, u in descending order.\nAnswer: t, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2*w - 5 + 3*w)*(7 - 1 - 2) as y*w + p and give y.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 134*m - 3. Let p(j) = 1565*j - 35. Let i(v) = 35*h(v) - 3*p(v). Let u(d) = -5*d**2. What is u(i(r))?\nAnswer: -125*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -249586, -499169, -748754, -998341, -1247930, -1497521?\nAnswer: -1747114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 113880 and 2184?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (14 - 7) + -1 + 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2185, 2207, 2245, 2299, 2369, 2455?\nAnswer: 2557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15113421*u**2 + 11328529 wrt u?\nAnswer: 30226842*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29049 is divided by 4814?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 366677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15707194 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1726009015 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 3*k - 0*k - 153, 3*k - 9 = 0. Let z = -36 + d. Factor 4*i**2 - 2*i**5 - i**4 + 3*i**5 + z*i**3 - 2 - 2*i**3 + i - i**4.\nAnswer: (i - 2)*(i - 1)**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 38*f - 13. Let w(z) = -12*z + 4. Let x(v) = c(v) + 3*w(v). Let n(r) = -3*r + 1. Determine x(n(o)).\nAnswer: -6*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -81.74 and 21.\nAnswer: -1716.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3478064 to the nearest integer?\nAnswer: 1865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.161 and 0.0977?\nAnswer: 0.2587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 5*o**2 + 420*o - 425 = 0.\nAnswer: -85, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 16 = 4*r. Suppose n + r = 3*n. Find the first derivative of -4*y**2 + y**2 - 4 + 5*y**n + 1 wrt y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(1\/2)\/r)*r)**(-41)\/(r\/(r\/(r*(r**(-1\/5)*r)\/r))*r\/(r**(-2\/3)\/r)) assuming r is positive.\nAnswer: r**(-3179\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**2\/11 + 3484*s\/11 = 0.\nAnswer: -1742, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 134 - 129. Solve -5*l**3 + 807*l**4 + 6 + 5*l - q*l**2 - 1612*l**4 + 804*l**4 = 0 for l.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6853 = 78*c + 6619 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58)\/((-928)\/(-40))*(-48)\/220?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81346 is divided by 81127?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -52303 <= -41064?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 5*m + 6. Let c be w(6). Let d = 5 + c. Solve 4*n = d*n, 4 = b - 2*n for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 5*k**2 - 2*k - 2. Let g = -26 + 30. Suppose -g*c - c + 35 = 4*u, 0 = 3*u - 15. Calculate the smallest common multiple of o(-5) and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1436916950 to the nearest integer?\nAnswer: 37907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1495 is divided by 337?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1982 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 10 - 82) + (-21 - 4).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 1:25 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*m**3 + 3*m**4 + 7 - 2*m**4 + 7 - 7 + 1 in the form f*m + l*m**3 + z*m**2 + a + c*m**4 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10000000110000010 (base 2) to base 5\nAnswer: -4102142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 476.1 to the nearest ten.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1219, 2609, 3999, 5389, 6779, 8169?\nAnswer: 9559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l + 4*q + 35, 4*l + 3*q + 43 = 8 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57604785 divided by 3.\nAnswer: -19201595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5516 divided by -14.\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.3262 less than -102\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8394 greater than or equal to -0.18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 586742\nAnswer: 234696.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 21. Let z be 121\/44 - 1\/(-4). Suppose 0 = -2*b + 3*b + z*j - 11, 0 = 2*j - 6. Solve 2*q + p = -b - 3, w = 2*q - p + 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26 + -73?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63 + -61. Let h(m) be the first derivative of 0*m - w - 1\/2*m**2 - m**3. Find the second derivative of h(l) wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from hhhohohohhohhohhhoh?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssvsvvsdsdsssdsdsv. Give prob of sequence ddv.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 764\/3 or -302?\nAnswer: 764\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/8 and 71\/266.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j**3 - 43365*j**2 - 5404455*j - 169615215 = 0 for j.\nAnswer: -8547, -63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 5*a. Suppose 3*p + i - 20 = 2*i, 40 = 3*p - 5*i. What is the remainder when m(p) is divided by (544\/(-64))\/17*-14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**2 - 4*q**2 + 2*q**2)*(q + 0*q + 0*q) + (-2 + 2 - q)*(0*q**2 - 5*q**2 + 0*q**2).\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2 + 3*w - 2*w - w. Let h(p) be the second derivative of p**4\/12 - 11*p. What is l(h(z))?\nAnswer: -2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*i - 108 - 146 - 178 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-6*sqrt(152)*1*5)\/((sqrt(48)\/sqrt(2)*6 + sqrt(24))\/sqrt(3)) + 3.\nAnswer: -30*sqrt(19)\/7 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 6*j - 9*j = 12, -j - 4 = -3*k. Let h(b) be the first derivative of 1\/2*b**2 + k*b - 4. What is h(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134255 to the power of 1\/2, to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1310.\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -9*z**7\/14 + 3*z**3 + 21*z. Find the second derivative of p(b) wrt b.\nAnswer: -540*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.16 in -36039, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 14*k + 3. Suppose -11*f = -7*f + 5*a - 46, 4*f = -4*a + 40. Determine t(f).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**3 + u**3 + 4*u**3)*(4881*u - 2177*u + 3576*u + 3381*u + 1918*u).\nAnswer: 23158*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 162\/108 - 70\/(-4). Solve 0 = 4*k + 1 + d for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -206573?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*d - 1. Let u(v) = v**2 - 1. Let k be u(d). Suppose -k = -3*w + 3. What is the remainder when w is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {c: 2, w: 18}.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003039051 rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/13 + 642372*a\/13 - 61007290\/13.\nAnswer: -2*(a - 321091)*(a - 95)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -20466459, -20466473, -20466501, -20466549, -20466623, -20466729, -20466873?\n\"Answer: -j**3 - j**2 - 4*j - 20466453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 less than 0.1714?\nAnswer: 103.1714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.027 from 586.\nAnswer: 585.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**4\/25 + 146*x**3\/5 + 12346*x**2\/25 - 51082*x\/25 - 29148\/5 = 0. Calculate x.\nAnswer: -347, -21, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence py when two letters picked without replacement from ssypprypyxpxxx.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 1141?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4385066821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 15*i**5 + 123*i**4 + 339*i**3 + 393*i**2 + 186*i + 24 = 0.\nAnswer: -4, -2, -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*j - 10. Let b be (1 - -1)\/(4\/j). Let n = -1 - b. Solve -4*k - n = -0*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2784953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-810)\/(-81))\/((-44)\/8*(-4)\/(-2)).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 1309*k - 386*k + 1634*k - 153*k. Let s(w) = -2*w. Determine q(s(t)).\nAnswer: -4808*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) -0.3 (c) 0 (d) 1\/79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -177 - -181. Solve -16 = 4*s + g*l, -3*s = -2*s - 2*l - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 3*m + 10 = 0, 2*g = 5*m + 528 - 520 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 209192 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/5 (b) -0.02 (c) -8 (d) -4 (e) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 12:57 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-1\/2))**(15\/4))**35*(x**0)**1\/(x\/x**1)**(3\/4) assuming x is positive.\nAnswer: x**(1575\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9837 - 6820. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 616108082?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hhhhhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1725730982?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24818\/5 + -4964. Let a = 35 - 25. What is the third smallest value in a, g, 0.4, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18b429 + -3?\nAnswer: 18b426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1*sqrt(190)*1 - sqrt(190) - sqrt(190))\/(sqrt(40)\/(sqrt(64) - sqrt(4)) - sqrt(10)).\nAnswer: 5 + 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.3, -1, 13551 in increasing order.\nAnswer: -1.3, -1, 13551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 (base 10) in base 15?\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 11, q: 8, f: 1}. What is prob of sequence ssf?\nAnswer: 11\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2 - 27*m + 59. Let g be t(11). Solve 16 = -g*w + 4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/933 and 73\/33.\nAnswer: 10263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1091)\/(-3) + (-6)\/72*8. Suppose -x - 272 = -5*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 8*o**2 - 14*o + 14. Let l be q(6). Factor x**2 - 15 + 0*x**l - 3*x + 17.\nAnswer: (x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6042*q**3 + 3*q + 301?\nAnswer: 36252*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-14) + (-46)\/14\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 91078 + 9135. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2 + 0*n**2 + 0*n**2 + 1 + 9*n**3. Suppose 0 = -17*z + z + 13792. Suppose 863*c = z*c + 1. Determine t(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -1, 3, -41.\nAnswer: -41, -1, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 4 = 6*f, -4*z = -f + 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-3)*2)\/1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -587*y = -4150*y - 958*y - 180840 for y.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21305 and 41306134?\nAnswer: 4261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5211 + 6003. What is the highest common divisor of t and 1089?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 10) in base 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -387 = 30*z - 61*z + 74*z for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bxn when three letters picked without replacement from lnnnnbnxnnnxn?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1042121 (base 5) in base 14?\nAnswer: 69d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 327 = 4*p - 532, 6 = 2*o. Let z = 92 - p. Let c = z + 750. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 105 = 3*a. Let z be (-3 + 3 - 0) + 0 + 5. Suppose z*j = 60 + a. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k**2 - 4032*k - 774177. What is n(-165)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**2 - 7*t. Let c be x(-3). Let z = -14 + 17. Solve c = z*a - 12 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (0 + 88 - 49).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*r = 28, -2*r + 1 - 33 = -2*f. Suppose -47*t = -48*t + 30. What is the greatest common divisor of t and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f - f**2 - 12 + f**3 + 33*f + 0*f**3 + 6*f to o*f**3 + x + r*f**2 + v*f and give v.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 8:50 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 471 = 10*b + 12*b - 277 for b.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 62392630207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489 is divided by 58.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-6*((-1 + sqrt(539))*3 - sqrt(539)).\nAnswer: -36 + 168*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 28, -2*g - 21 = -5*y - 0*y. Solve 19*r = g*r + 84 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -8\/7*c**7 + 0*c**2 + 0*c**4 - 29 + 0*c**5 + 0*c**6 + 10\/3*c**3 + 0*c. Find the third derivative of h(n) wrt n.\nAnswer: -960*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 12*s**2 + 10*s + 13. Let g be d(11). Let p(n) = -g*n**2 + 6*n + 181 - 177 + 16*n**2. Is 8 a factor of p(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -35, -126, -305, -602, -1047, -1670, -2501?\nAnswer: -3570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*n - 63*n = -11243 - 17645. What is the highest common divisor of 253 and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/1162 and 17\/166?\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - v = 165, v + 342 - 137 = -5*q. Let s = q - -89. Is s a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**5 - 888*j**4 - 62643*j**3 - 104310*j**2 + 1197612*j - 1462536 = 0. Calculate j.\nAnswer: -183, -111, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-0.0694351\nAnswer: 0.01388702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iy when two letters picked without replacement from iiyix.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1752261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t. Suppose 10 + 6 = 2*s. Let m(u) = s - 2 + 4*u - 6. Calculate y(m(r)).\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 8*t = 30. Calculate the lowest common multiple of 7 and t.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 4*f**5 + (0 + 3 - 4)*(f**5 + 0*f**5 + f**5) + 0*f**5 + 2*f**5 - 4*f**5 + 4*f + f**5 - 4*f + 82*f**5 - 167*f**5 + 5*f**5.\nAnswer: -87*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1376 and 15738?\nAnswer: 251808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 8. Let z be (0 - 12\/b)*2. Is -4 at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5 + (-4 + sqrt(1872) + 1 + -3 + 4)*-3)**2.\nAnswer: -792*sqrt(13) + 16967","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 - 127 + 77 + 3365*i**2.\nAnswer: 3365*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.8781 - -0.1219. What is the fourth smallest value in -5, d, -2, -1\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.57 - 0.07. Suppose 1 = -y, -o - 3*o - y - 13 = 0. Let t(m) = 2*m + 2. Let s be t(o). What is the nearest to -1\/4 in u, 1, s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 4*g - 22 = 0, 4*p - 570*g + 571*g = -5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 347979*y - 347977*y + 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 2:58 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -x**3\/3 - 6*x**2 - 4*x - 6. Calculate the smallest common multiple of k(-10) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39345 (base 12) in base 6?\nAnswer: 1402125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 585*l**2 + 47*l + 132. Let y be w(-4). What is y rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 2*c - 0*g + 10, 0 = 3*c - 5*g - 35. Suppose -6 = -c*p - 11, -5*p - 88 = -n. What are the prime factors of n?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6530544 (base 8) in base 3?\nAnswer: 10021212122200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*a = 19862 - 130751. What is the greatest common factor of 27 and a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 6\/71, -4, -1, -14\/101?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 * -393751.\nAnswer: 5118763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 437432 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 12)\/((-10)\/4284). Suppose -2*g + c + 3*c + 2136 = 0, -5*c = -4*g + i. Suppose -o = 2*f - 159 - 382, -2*o - f = -g. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + -10 + -18 + 32.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((0 - 1) + -11 + 11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22*17\/(-4488))\/((-14)\/(-28))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -30*z + 30*z + 9*z**2. Let f(b) = 6*b. Give f(d(v)).\nAnswer: 54*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11 (b) 1\/4 (c) 0 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w - 6*w - 150 = 0. Let m(k) = k - 18. Calculate m(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161815213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 6*o - 400. Suppose 10*f = -11*f + 3948. Let m = -178 + f. What is the greatest common factor of m and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -327 + 228*o + 327 to the form t + l*o and give l.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*m + 35993 - 11965 - 12020 = 0 for m.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -30000*(-8)\/(-12)*-79. What is h rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1462 and 110.\nAnswer: 80410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m - 6336 = -19*m. List the prime factors of m.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1242 take away 29783.059?\nAnswer: -31025.059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3273*o - 4505 - 90412 = 0 for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*w + 5*v - 6, 3*v - 4 = -5*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 401557 at least as big as 401567?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of 2*m**3\/3 - 7*m**2\/2 - 151677*m. Let l(o) be the second derivative of -o**3\/6 + o**2\/2 - o. Give -5*l(p) - t(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 1:48 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**(-1)))**(1\/15)*(i**(-9)\/i*i)**10 assuming i is positive.\nAnswer: i**(-1351\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -737315*26\nAnswer: -19170190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 9:27 AM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 23*i**2 + 23*i - 14. Let g be u(22). Solve -2*t - 2*j + 2 = -g, t + 7 = 2*j for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 401*t**2 - 3*t + 204?\nAnswer: 802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d*j**2 - 2045*d*j + 57*d + 6 wrt j.\nAnswer: -2*d*j - 2045*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -29. Suppose -n*r + 24 = -4*r. Suppose -r*t = -4*t - 100. Is 24 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from maaaaam. What is prob of sequence mam?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c - 31. Let u be g(30). Let h be 3 + (-5 - -4) - u - -9. Solve -s = 5*t - 24, h = t + t + s for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/(sqrt(8)*-3))\/(sqrt(15)\/sqrt(5)*-5 - sqrt(3)).\nAnswer: sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 0. Let x(o) = 2 - 7*o**2 + 2*o**3 + 2*o + r*o**2 + o. Does 17 divide x(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by -90?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 213? (a) 0 (b) -0.1 (c) -5 (d) 449 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b - 4. Let n be q(7). Suppose -n*c = -48 + 12. Suppose -4*a + 4*f = -0*f, 2*f = -4*a + c. Calculate the remainder when 6 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -9 - (-15 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u - 1. Let p be d(3). Let i = p - -9. Calculate the remainder when 39 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 312293 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -10. Which is the nearest to -0.1? (a) 0.1 (b) u (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 4:20 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 27280\/2046*((-14)\/(-4) - 2). Solve t*a = 5*q + 24*a + 20, 5*a - 4 = q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22952441.\nAnswer: 73, 229, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13001 (base 4) to base 2.\nAnswer: -111000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 92.03528 weeks?\nAnswer: 15461.92704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1893)\/(2 + 7*(-1)\/2). Factor 3*r - 2*r**3 + r**4 - 3*r - 1265*r**2 + v*r**2.\nAnswer: r**2*(r - 3)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**2 - 11 - 6 + 16 in the form x*s + l + f*s**2 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6073721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**8)**(1\/7))**(-24))**(-2\/159) assuming w is positive.\nAnswer: w**(128\/371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-93300)\/(-6 - 9) - -4.\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 1 + 17 = 0. Let c = f + -5. Suppose 0 = -5*w + l + l - 8, -c*w = -5*l + 20. Put w, -4, 3 in decreasing order.\nAnswer: 3, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 5*x + 1. Let j be 4\/14 + (-1056)\/(-77). Let g be j\/42*(4 - (-2)\/1). Suppose 2*d + 2 = -4*q, 3*d = g*d + 4*q + 11. Calculate n(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a tonne in kilograms?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 7*u + 2094 = 114, 3*u - 676 = -d. Is d even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 263556 by -12.\nAnswer: -21963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*z**2 - 421113*z + 592764.\nAnswer: 4*z - 421113","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of 2713*o**3\/6 + 5*o**2 - 11*o. Is n(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 divided by -6.\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 15, q = 2*q - 4*u - 27. Let v = q + -9. What is the common denominator of v\/(-5) - 319\/(-90) and -95\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6676\/70915 + 2\/1091. Let b = y + -8\/195. What is the second biggest value in -4, b, 3\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/90320 and 11\/451600.\nAnswer: 451600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1432 and 105789?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/7*(6\/3 - 1)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 12 = 3*d - 6, 2*d + 2*k = 28. What are the prime factors of d + 0 + (-2 - -3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*-74.\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.6 + -1.8. What is the third smallest value in 0.08, 0.2, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3*n - 15 - 0, m = -4*n + 13. Let i(g) = -91*g**2 + 7. Let p be i(m). Let b = p - -4087\/5. Is b greater than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 113 + -115. Are q and -15 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27688 - 15967. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-30)*3\/4*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 50.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-10))\/(30870\/(-749700)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 959417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -54*i**2 + 28586*i. Let p(a) = 21*a. Give p(d(h)).\nAnswer: -1134*h**2 + 600306*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-700 - -699) + 1 + 0 + -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -28, 0, -2.8, 3.82 in decreasing order.\nAnswer: 3.82, 0.4, 0, -2.8, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 38*i**2 + 599*i - 144. Let t be v(-50). Let a(s) = 24*s + 2. Let z be a(-4). Is z greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000091317 to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 5*c**2 - c - 3. Let j be h(-5). Suppose 0 = r + 3*r - 8. Let n(f) = -5*f**j - f**r + 4*f**2. Let i(x) = -3*x**2. Give n(i(d)).\nAnswer: -18*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2080582*d + 1040196*d + 1039765*d.\nAnswer: -621*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 35*a**2*c*m + 572*a**2*m + 736*a*c + 4*a*m + a + 35*c*m - 3900*m wrt c?\nAnswer: 35*a**2*m + 736*a + 35*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2658 or -2656?\nAnswer: -2658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r**2 + 32224*r. Let x(o) = 3*o**2 + 19336*o. Give -7*l(s) + 12*x(s).\nAnswer: s**2 + 6464*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 13*n**4 + 11*n**3 - 33*n + 11. Let y(k) = -4*k**4 - 4*k**3 + 11*k - 4. Let s(f) = -4*r(f) - 11*y(f). What is the second derivative of s(d) wrt d?\nAnswer: -96*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 8:31 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in -13, -5, 0.18, -38?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -3*w + 81, -10*w - 3*l = -12*w + 35. Suppose 372 + 762 = 7*i. Calculate the lowest common multiple of i and w.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 1. Let y(u) = u**3 + 4*u**2 - 11*u - 6. Let s(x) = -3*p(x) + y(x). Let a be s(3). Does 2 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.7 - 2.7. Let z = -11 + 43\/4. Which is the nearest to z? (a) 0.1 (b) l (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*(0 + l**3 + 0) + 32*l**3 - 59*l**3 + 33*l**3.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1374 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 9:32 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nndssssujj. What is prob of sequence jnnj?\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 + 39. Let d = 7 - 3. Suppose -d*o + 4 = -4. Calculate the lowest common multiple of o and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24146801 is divided by 105907.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 335568541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 22*p**3 - 7*p**3 - 30*p**2 - 11*p**3 - 39 - 81*p - 15*p**2 - 7*p**3 = 0?\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6621691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**2 - 3*k**2 + 6*k**2 + (4*k**2 - k**2 + k**2)*(2 + 1 - 2) + (3 - k - 3)*(2*k - 3*k - k).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*72\/6*3\/9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.957219ml to litres.\nAnswer: 0.002957219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 s when two letters picked without replacement from {s: 8, c: 5}.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1467338867.\nAnswer: 17, 53, 1628567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 7 - 33)*((-1 + 4 - 4)*(4*o - 4 + 4) - 3*o + o + o).\nAnswer: 70*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28273116?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.48 - 222.48. Let z = c - -219.0000113. Round z to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 341920 and 160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 876877 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 444, 444, 448, 456, 468, 484, 504?\n\"Answer: 2*o**2 - 6*o + 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-8)\/(-24))\/(1\/(-6)))\/(-1). Let w = -20.2 - -20. What is the nearest to w in t, -2\/23, 2\/7?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2012546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40.91 - 40.51. What is the second biggest value in -3\/2, 0.2, -2, 8, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20 - (-534927)\/(-23452) - (-4 - -1) and 73\/715.\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*a - 83*a - 903*a**3.\nAnswer: -903*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mimhmmmmmmm. What is prob of picking 3 m?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-22 - 29)) + -45?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 84 + 82 + 95 + 21*t - 250 to the form y + b*t and give b.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4*t = 2*t + 18, 5*u - 4*t - 42 = 0. Suppose -3*h + 10 = 2*q, -5*q + h = -u - 2. Is (q\/(-8))\/(9\/(-2988)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q**3 - 4 - 7*q + 6*q + 3. Let b = -1 - -4. Suppose b*h - 8 = 2*o, -o = 5*h - 11 + 2. Determine a(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**3\/11 - 3914*l**2\/11 - 1898854*l\/11 + 1902770\/11 = 0. What is l?\nAnswer: -1063, -895, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*y, -4*m + 4*y = -0*m - 20. Find the first derivative of v**m + 13*v**3 - v**2 + 333 + 17*v**3 wrt v.\nAnswer: 93*v**2 - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 0)*(-3)\/(-2). What is the closest to -2 in 0.4, j, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 162, 154, 124, 60, -50, -218?\nAnswer: -456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -5*o + 5\/2*o**2 + 5\/2*o**4 + 19 + 2\/3*o**3. Is b(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -0*i + 52. Suppose i*u - 22 = 69. What is the remainder when 8 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 957 is divided by 475.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*t - 37 = 55 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 45, -62, -3?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1891*y**3 - 3506*y**2?\nAnswer: -11346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-60))\/((-5)\/(160\/36)) + 0.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1488 + 5353?\nAnswer: 6852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.9 + 22.5. Round j to the nearest integer.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 6*x**2 + 2*x + 1. Let g be y(-1). Suppose -g*n + 4*a = 22, -5*a = 2*n - 2*a + 18. Let m be (-2)\/(-2) + n\/8. Is m equal to -0.04?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11746603 + 130229.225.\nAnswer: 11876832.225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 0. Let n(l) = l**2 - 5*l + 8 + 0*l**2 - i. List the prime factors of n(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 680 = -6*d. Let k = d - 102. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 11:05 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**6\/360 - n**5\/12 + 2*n**4\/3 + 31*n**3\/6 + n**2\/2 - 11*n. Let t(w) be the second derivative of f(w). Determine t(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1101202112 + 100001011?\nAnswer: -1001201101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 6, 7, -1, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 63 or 61?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*v**2*w**2 - 226020*v**2 - 3*w**2 - 38*w + 540 wrt v?\nAnswer: 8*v*w**2 - 452040*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1\/4)\/q)\/(q\/q**3*q)*(q**(2\/13)\/q)\/(q**1*q*q) assuming q is positive.\nAnswer: q**(-161\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 5*q = 5*g - 1878, 0 = g - 2. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 5*f = 1 + 17, -3*f = 4*o - 10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 501\/30 - (-303)\/1010.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 3*p - 696. Is 10 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 12 = c. Suppose c*p = 3*d + p + 119, d + 41 = p. What is the common denominator of d and 3\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 922, 897, 858, 805?\n\"Answer: -7*s**2 - 4*s + 933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-528)\/(-136) + (-2)\/(-17). Let l(a) = a**3 - 4*a**2 - a - 1. What is l(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263221691053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22456 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + t = -17, 0 = i - 3*t + 5*t - 10. Solve -i*p = 2*s - 12, 2*s + 2*s = -8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -9. Suppose 0 = -5*y + 5*k + 15 - 0, -2*k - 10 = 2*y. Let w = 10 + -9. What is the nearest to w in r, y, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 363*i**3 - 346*i**3 - 15*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4920502649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 65, 8?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 65 = m + m, 2*p + 2*m - 26 = 0. Calculate the greatest common divisor of 143 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -27*7\/(-21) - 6. Suppose 0 = 5*a - 650 - 1485. Suppose -o*r = -5*p + a, -352 = -4*p + r + 4*r. Calculate the remainder when p is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 12 = 43. Suppose 0 = f*i - 9*i - 24. Solve -3*u = u + i for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {w: 6, x: 1, s: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3999568619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43*g**2 + 8 + 8*g + 0*g - 111*g**2 wrt g?\nAnswer: -308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -5*v**2 + 20*v - 20. Let h(y) = -y + 1. Let w be 2*2*(-4)\/16. Let s(z) = w*u(z) - 15*h(z). Let l(m) = -m + 1. What is -5*l(b) + s(b)?\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 75*p**2 - 5*p. Let x(g) = -37*g**2 + 2*g. Give -2*i(m) - 5*x(m).\nAnswer: 35*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 1001001110111010101000001110?\nAnswer: -1001001110111010101000010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 26*g = 130, g - 13 = w - 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 68\/(-72))\/((-3)\/4)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 36*a**2 - 118*a + 29. Determine v(39).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129 = 4*d + 5*a - 162, -4*d + 4*a = -24 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -150 + -49. Let s = -102 - x. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 196*m**4 + 279*m**4 + 85*m**2 - 1480*m + 176*m**4 - 86*m**2 wrt m.\nAnswer: 7812*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.053 times -74\nAnswer: 3.922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -30*(-18)\/108 - 10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 39 = 2*i. Let b be (-214)\/(-9) - i*4\/126. Solve 8*c = -b + 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1511 - 0?\nAnswer: -1511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 131?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.539 rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*u**2 + 11*u**2 + 2402*u - 2403*u to x + c*u**2 + b*u and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67 + 35. Let u be (72*-1)\/2*-1. Let h = w + u. Solve -20 = 4*j - h*k + 3*k, -2*j - 10 = k for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14925158 to the nearest integer?\nAnswer: 3863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 254 + 250. Let h = 500.87 - g. What is h rounded to 1 decimal place?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*s - 1)*(1 + 0 + 0)*(-17 + 17 - 7*s**2).\nAnswer: -14*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a century in decades?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3.664 or -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n - 20225 + 40465 - 19*n - 20238 - 5*n.\nAnswer: -30*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -7. Suppose 3*y + l + 15 = 0, 0 = -4*y + 4*l - 18 - g. Let f be (3 + 77)\/(1\/y). What is f rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 6:26 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*y - 7. Let p(a) = -a + 11. Let z be p(9). Factor -2*d**2 + 4*d + 2 - y - z.\nAnswer: -2*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1674660523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/5 - (10 + -2). Let w = -9 - m. Let z be w - 28\/(-3 - 1). Let h(j) = j + 1. Calculate h(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/552638949 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 31 + 32 + 10 + 2*t**3.\nAnswer: 2*t**3 + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + ((-4829)\/(-1))\/1. Suppose -5*o = -5*m - 32025, -3*o - 2298 = -4*m - 21516. Suppose -k = r - o, -k + l - 17628 = -2*r. Round r to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -40, 11?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7400 (base 9) in base 7?\nAnswer: 21552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-6*sqrt(33)\/(sqrt(432)*-3))**2 + -4 + (sqrt(1584) + 2)**2 + sqrt(11) + -3.\nAnswer: 49*sqrt(11) + 56783\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3870 + 2562 = 24*k. Is 6 a factor of 108\/3*(3 + k\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 5*u**2 + 6*u + 6. Let f be m(6). Suppose -v + 32 = -f. Let c = v - 115\/3. Put 1, c, -0.5 in decreasing order.\nAnswer: 1, c, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 6*o - 20. Suppose -3*i - 33*i + 648 = 0. What is the smallest common multiple of i and (-1)\/o + 438\/24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7480 = 2*w + 5*c, -42*w = -46*w - 3*c - 14974. Do -3746 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 727328630 to the nearest integer?\nAnswer: 899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235*z + 1809*z - 7836*z - 2 - 7505*z - 800*z.\nAnswer: -14567*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*i - 1407 = -1176 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 10:10 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3814548 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68514588?\nAnswer: 2, 3, 29, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**2 - 5*o**2 + 4*o**2 + 2*o**2 in the form d*o**2 + f + b*o and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -17.9. Let n be (-1 + -1)\/(-1) - 0. What is the closest to j in n, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56670 = -143*i + 19549. What is the greatest common factor of 205 and i?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5413 or 5418?\nAnswer: 5418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/((-8)\/(-12)))\/1. Suppose 2*f = v*h - 15, 2*h - f = 7*h - 12. Suppose 0 = -h*s + s + 4. What is the least common multiple of s and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.11 - -0.11. Let t = 2 - 2.05. Let b = -0.05 + t. What is the second smallest value in l, -2\/9, b?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/1001 and -27\/572?\nAnswer: 4004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000051208 to seven dps.\nAnswer: 0.0000512","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/(-18))\/(4\/18). Find the second derivative of 37*h - 29*h**3 - 5*h**2 + 4*h**c + h**2 wrt h.\nAnswer: -174*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - 3 - 852*125\/(-6000)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/25, -1\/4, -0.2, 3\/26?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/56 and -103\/5446?\nAnswer: 21784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(2\/(-82)*24\/(-48))*18\/12?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-84)\/3570)\/((-1)\/5)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -999 divided by 62\nAnswer: -999\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*b**2 - 23171*b**3 + 37*b**2 + 37*b**2.\nAnswer: -23171*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**3 - 351*y**2 + 1996*y - 34. Determine w(6).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 14*g - 9. Let f be z(15). Solve -5*s = -2*a - 6 + 16, -f = 3*s + 3*a for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -162.6072790464 - -0.1071252464. Let t = i + 162.5. What is t rounded to five decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of y**4\/4 + 5*y**3\/3 - 4*y**2 - 9*y - 3. Let j be i(-6). Are j and 7\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n**3 + 10 - 7 + 3*n**3 - 2 + 5 + n. Let q(w) = w - 6. Let t be q(6). Give j(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 12, 21, 30, 39, 48, 57?\n\"Answer: 9*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of z**4\/18 + 20*z**3\/27 + 4*z**2\/3 - 16*z + 38. Determine j so that i(j) = 0.\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -0*k + 16. Let x(l) = -4*l + 112. Let r be x(27). Let f(b) = r - 4 + k*b**2 + 0. Let a(v) = 4*v**2. Give a(f(n)).\nAnswer: 64*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 5 (c) -1 (d) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -98624 + 1267?\nAnswer: -97357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven eighths of a gram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14788*l - 14797*l - 71 = 136 for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -510*w**2 + 185*w**3 + 153*w**3 + 1026*w - 514 + 152*w**3 - 492*w**3.\nAnswer: -2*(w - 1)**2*(w + 257)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l + 1. Let b(r) be the second derivative of r**5\/20 - r**4\/4 - 2*r**3\/3 + 2*r**2 + 3*r. What is the remainder when h(-5) is divided by b(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 31*c**2 - 19*c - 175. Let u be k(30). Calculate the greatest common factor of 5 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -396, -484, -576, -672, -772, -876, -984?\n\"Answer: -2*b**2 - 82*b - 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, g: 15}. What is prob of sequence qgg?\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23068\/3 + -7754. Let q = n - -3689\/57. Is -3 <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 4*z - 8*z + 2*z. Let t(i) be the first derivative of -1\/6*i**6 + 0*i**2 + 0*i - 45 + 1\/5*i**5 + z*i**3 + 1\/2*i**4. Factor t(m).\nAnswer: -m**3*(m - 2)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - m = 17, -10*f - 51 = -7*f + 5*m for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 30222\/(-16720) + (-228)\/(-2166). Let z be 3\/3 - 30\/11. Let y = q - z. Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6421\/2 or 3212?\nAnswer: 3212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -16, j + 21 = d + 5. Let u(y) = 1. Suppose -4*h = -8*h + 4. Let a(m) = 5*m - 20. Determine d*u(i) + h*a(i).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/35 + ((-22)\/(-10) - -3). Solve -5*z + r - h*r + 8 = 0, 3*r = z - 13 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/5)\/((-8)\/(-80) + (-1179)\/8646).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11458\/35 - -328. Let i = w + 38\/385. Suppose 6\/11*m**2 + 0*m - 2\/11*m**3 - i = 0. What is m?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 8*k**2. Suppose -2357 - 4720 = -21*a. Let q(i) = -329*i - a*i + 664*i. Give q(t(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3*h = -0*p - 9, p - h = -1. Let n be (-2)\/(-4)*28 - p. Let y = -8 + n. Solve -y*a + 2*a = -9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 184*j + 5. Let m(q) = -550*q - 14. Determine 11*g(a) + 4*m(a).\nAnswer: -176*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -99 + 54. Let w = d + 25. Let x = 8 + w. Is x >= 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -280, -283, -298, -331, -388, -475, -598, -763?\nAnswer: -976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6060 divided by 2?\nAnswer: -3030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8668741 (base 9) in base 4?\nAnswer: 101233221220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2869288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -0.0014, -149\/6, 4\/5, 2\/7?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 417 + 60. Let d = -441 + y. Calculate the greatest common divisor of 162 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1482 and 312.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -147 - 339*z**2 - 551*z**2 - 124*z**2 + 138 + (-2 + 2 - z)*(-1 + 1 + z) to the form a*z + g + l*z**2 and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g = -12*g - 36 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 1716 - 1437 - 5*x - 8*x + 11*x. Let b(k) = k**2. Calculate n(b(t)).\nAnswer: -2*t**2 + 279","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is -11\/967 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -5*c**3\/12 + 35*c**2\/4 - 245*c\/4 + 8. Let b(v) = 0. What is v?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -30263*x - 484126. Calculate q(-16).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-2) + 1 - -1. Suppose -198*y = 106 - 397 - 501. Solve -y*t - 24 = -5*o - 5, 18 = -x*t + 5*o for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i + 5. Suppose 7*f - 24 = 3*f. Let r be q(f). Suppose -2*b - 2*b + 2*u + 4 = 0, -b = -5*u + r. What is the third biggest value in b, -5, -2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/2125332 and -37\/396.\nAnswer: 2125332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 36531*j + 146131. Calculate i(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50253042.\nAnswer: 2, 3, 7, 1196501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jk when two letters picked without replacement from zjjkmddkdzkjjkjk.\nAnswer: 5\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 52. Suppose -g + x = -31, -4*g + 85 + p = 2*x. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -539 = -2*i - 399. Suppose 61*y - i*y = 153. Put 3, y, 6 in increasing order.\nAnswer: y, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43990.\nAnswer: 2, 5, 53, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*p + 32*p - 2*p**2 - 3*p + 35*p to g*p + h*p**2 + s and give g.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 0, -3\/4, -3.7314, 1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -563 or 17.76?\nAnswer: -563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 89986 times -1\nAnswer: -89986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - k**2 - k. Let o be g(-2). What is the highest common factor of o and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -743 - -332. Let x = 429 + p. What is the remainder when x is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 617044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 161?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*a + 1514 + 2468 = -2864 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -m - 12. Suppose 0 = -5*d + 3*a + 13, 27*d - 21*d - 3*a = 15. Solve m*c + 0*c + 5*s - 12 = 0, 24 = -d*c + 5*s for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2628*u + 150*u - 5122*u)*(-2 - 1 + 4).\nAnswer: -2344*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + -1)\/((-2)\/3). Let f = -1161 - -1156. Which is the closest to 2? (a) 0.6 (b) j (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 12 and -3\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -19. Let s be (-58)\/(-56) - (-6)\/(-21). Which is smaller: n or s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuuuukuuu. What is prob of picking 1 k and 2 u?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*s + 1434 = -1049 - 155 - 1586 for s.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-8))\/(30 + 15818\/(-528)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/4 (b) -110\/7 (c) -2 (d) 0.002\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 1 - 2 - 6 = 5*u, 11*u - a + 35 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 - 1501 = 112*t - 25*t + 725 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -3*r + 12825, -11*g = -10*g + 4*r - 3216. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-52)*-767*8\/(-4).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -341*f + 972 = -44*f + 12852 for f.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-1162)*14\/(-21). Let b = -2306\/5229 - u. What is the second biggest value in 5, -22, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -118 by -12296.\nAnswer: 59\/6148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*q - 1, 71 = 5*g - 5*q + 66. Put 0, -1, -21, g, 3 in ascending order.\nAnswer: -21, -1, 0, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 q when two letters picked without replacement from {r: 1, p: 1, e: 1, a: 1, q: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 251*t*w - 11*t + 170*w + 20291 with respect to w.\nAnswer: 251*t + 170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 303828 - 89957?\nAnswer: 213871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c - 1 = -2*u - 4*c, -5 = 5*u - 5*c for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 130 + -133. Let z = r + 27. What is the highest common divisor of 16 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8667772 at most as big as -8667774?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 7. Suppose 2*b - 24 = -8. What is the least common multiple of q and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -21 - 8568. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 57 + 10*j**2 - 5*j**2 - 4*j**2 - 16*j. Let y be a(11). Sort y, -1, 4 in descending order.\nAnswer: 4, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.15 - 0.25. Let g = -1.5 + -1.5. Let t = g - -3.1. What is the smallest value in t, v, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w = 8*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/11 - 3952*h\/11 + 3950\/11.\nAnswer: 2*(h - 1975)*(h - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g. Let q(v) = 3*v**2 + 7*v - 8. Let l be q(-7). Suppose 2*t - 360 = -2*t. Let s(b) = -l + t - b. Calculate k(s(o)).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8132 divided by 4.\nAnswer: 2033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(65)*2)\/sqrt(5)*-2.\nAnswer: 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3586 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.14 + 0.03. Let l = y + 0.51. Which is the closest to l? (a) -5 (b) 1\/4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 43\/4 of a day?\nAnswer: 258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (2 + -2) - (2 + -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-87.\nAnswer: -8.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -113113 - 423?\nAnswer: -113540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of o**5\/2 - o**4\/6 - 261*o**2\/2 - 4*o. What is the first derivative of x(i) wrt i?\nAnswer: 30*i**2 - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -66*z + 19*z + 376. Calculate the remainder when 1196 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 85*o + 83. Let k be d(-84). Let g = 0.2 + 2.8. Sort g, 0.7, k.\nAnswer: k, 0.7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/3372 and 43\/4.\nAnswer: 3372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -49 + 3593642789419\nAnswer: 3593642789370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55984?\nAnswer: 2, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/764 and -53\/8.\nAnswer: 1528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -5. Suppose -8 = f - 3, 15 = -5*h - 5*f. Factor -s - 1 + h*s**2 - 3*s + l.\nAnswer: 2*s*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*o = 55*o + 16437. Suppose -351 = 8*w - o. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -137.296, -5, 0.06?\nAnswer: -137.296","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -20) + -12 + 15 + -34 - (0 + -31).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 97*v**3 - 4*v**2 + 71*v**3 + 4*v**2 + 3 + v - 648*v**3 as o*v**2 + a*v + s + l*v**3 and give l.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a + 20 = 5*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 101, 151, 201, 251?\nAnswer: 301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 15*g**2 - 7*g + 9. Is 41 a factor of y(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/2*(-50)\/100?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-5)\/(40\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pxgxppxpxxgpx. Give prob of sequence gx.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 40962*d**3 + 5*d**2 - 10*d + 88. Let o be w(6). Round o to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3531 + -840381\/238. Do y and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 7) in base 2?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of s**4\/2 - s**3\/3 + s**2 - 12*s. Is x(3) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 75990952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -16457?\nAnswer: 16462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 33\/5 of a micrometer?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42 - 47) + 2 + 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 c when four letters picked without replacement from cbccbbbbbcb.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 174861809?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37728*b**3*j*m*v**2 + b**3*j - 19*b**2*j*m*v**2 - 144*b*j*m*v + 1983*b*m*v - j*m*v wrt v?\nAnswer: 75456*b**3*j*m - 38*b**2*j*m","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 135*h**3 - 104*h**3 + 821*h**2 - 2*h**4 - 870*h + 870*h wrt h?\nAnswer: -48*h + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -9*n - 3. Is 21 a factor of r(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**2\/2 + 38747*a\/2 + 38749 = 0.\nAnswer: -2, 38749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 122*u**2 + 1. Suppose 3*k = -9, 4*k + 5 = 2*q - 5. Does 41 divide a(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 4:13 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3113200 rounded to the nearest 10000?\nAnswer: -3110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -27 + 22*p + 13*p**4 + 5*p**4 - 324*p**3 + 2*p**2 - 44*p + 23*p + 325*p**3 as w*p + n*p**2 + z*p**3 + m*p**4 + j and give j.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8389810)\/(-21516))\/65 + -6. Which is smaller: 10 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -400240242003 - 0?\nAnswer: -400240242003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 328263172 and 607.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.2 (b) 2\/5 (c) 131\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/4*(-1 + -1). Let x = 1 - a. What is the remainder when 4 is divided by -2 + 7 + -6 + x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -1 - 26. Calculate the greatest common divisor of h and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -u + 30, -2*u = -4*x + 100240. What are the prime factors of x?\nAnswer: 2, 3, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 3:01 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iihiihxhi. What is prob of picking 1 h, 1 x, and 1 i?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 3. Let p be h(-3). Let q = p - 24. Let i = q + 14. Let c(j) = 2*j - 3. Give c(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79765.\nAnswer: 5, 7, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2, 4, 3 in descending order.\nAnswer: 4, 3, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 10*q + 20. Let v be m(8). Solve u = 1 + v for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -96 + 105. Let g(s) = s**2 - 3*s - 3. Let c be g(5). Find x, given that 8*x - c*x**4 - 3*x**2 - 8*x**3 + 0*x**3 + i*x**2 + 2 - x**4 = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13941, 13980, 14037, 14112, 14205, 14316, 14445?\nAnswer: 14592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/20)\/(14\/(-105)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1534*m**2 + 1534*m**2 + 11*m**3.\nAnswer: 11*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -312345 (base 6) to base 4.\nAnswer: -12021221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 19*h**2 - 156*h + 55. What is the ten thousands digit of x(28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -592*b - 594*b - 578*b - 512*b + 2757*b - 589*b + 3.\nAnswer: -108*b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110 - -110001?\nAnswer: 100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v + 24. Let h = -9 - 2. Let w be g(h). What is the second derivative of -3*q**2 - 7*q - 6*q**w - 2*q**2 wrt q?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.23 (b) -0.1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*h**3 + 26531 + 605*h**3 - 53068 + 26537.\nAnswer: 538*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 11:27 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4650\/(-39) + 54\/351 - 408\/442\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-22))\/((-25)\/(-55)*336\/(-40))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (7 + 11453)\/(-2). Let r be (y\/(-66) + 4\/6)*12. What is the greatest common divisor of 7 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 5:40 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4652503?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 743631.\nAnswer: 3, 7, 17, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 18\/((-24)\/4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 380 divided by 76\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 6:54 PM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 424*b - 212*b - 212*b - 1383*b**2.\nAnswer: -1383*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -509*f*w + 105*f - 580357*w with respect to f.\nAnswer: -509*w + 105","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 12 = 5*m - 240, 4*w = -3*m + 154. Is 25 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 154*o**3 - 3*o**2 + 8*o + 16. Is m(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (d - 2*d + 0*d)*((1 - 1 - 1)*(1 + 0 - 2) - 1 - 1 + 3 + 68 - 45 - 44) in the form p + x*d and give x.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 178*h**2 - 3*h - 10. Let v be d(-2). Suppose 0 = 4*s - 3*g - v, 0*s - 3*s = 3*g - 531. Is s a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61 - 56. Suppose 0*n = i*n - 230. What is the highest common divisor of n and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 117034346 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rzz when three letters picked without replacement from {r: 10, z: 10}?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -175 times -50.15\nAnswer: 8776.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 7*v + 5. Let u(q) = -q**3 + 5*q**2 + 2. Let p be u(v). Suppose 5*h = p*k + h - 2, 3*k - 3 = h. Is k at most -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4291783597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -932, -933, -934, -935, -936?\n\"Answer: -p - 931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 98.51825 + -14.52195. Let n = -157 - -73. Let v = n + i. Round v to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q**3 - 2*q**3 + 0*q**3)*(-q + 2 - 2) - 13*q**3 - 4*q**4 + 18*q**4 + 14*q**3 to x + d*q**4 + t*q**2 + f*q + j*q**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00015392304 to seven dps.\nAnswer: 0.0001539","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -591940 to the nearest ten thousand.\nAnswer: -590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**10*q\/(q*q\/q**(-4)*q)*q*q*(q**(-2\/5))**(1\/15) assuming q is positive.\nAnswer: q**(-977\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -4172 + r**2 - 13*r + 4253 - 4*r**2 - r - 4*r = 0?\nAnswer: -9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4958 = 3*o, -o = -26*h + 29*h - 1649. Does 14 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14186 and 41866.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 4:54 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1670 and -203.\nAnswer: 339010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -6*a - 2. Let l be h(-3). Suppose 4*w - 17 = -3*v, 3*w - 5*w + l = 4*v. Suppose v*r - 4300 = 8*r. Round r to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -43*u**2 - 298*u + 10. Calculate k(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (27\/15 - 1)*5. Suppose 0 = -y*u + 124 + 16. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 4 - 8 = 0. Let w be 9 + -5 - 20199992\/b. What is w rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + 39\/(-6))*8\/(-6). Let u(n) = n + 3. What is u(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -19. Let k(c) = -23*c**2 - 49*c - 59. Let o(a) = 8*a**2 + 16*a + 20. Let j(g) = -6*k(g) - 17*o(g). Does 7 divide j(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*a**2 + 2950537743*a - 843010782.\nAnswer: -3*(a - 140501797)*(7*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -113*z**4 + 4*z**3 - 3*z + 48975.\nAnswer: -452*z**3 + 12*z**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/9 (b) -4\/53 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*c + 4*c - 4*c + (7 - 3 - 2)*(-2*c + 1 - 1) - 20*c + 36*c - 21*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 24644633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 88000 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323 is divided by 308.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 3*h**2 + 4. Let i be d(3). Let f = i - -1. Let s(a) = a**2 - 15*a - 64. What is the remainder when s(19) is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48196?\nAnswer: 2, 12049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**4 + 3424*i**3 + 1472302*i**2 + 5844776*i + 4375896 = 0.\nAnswer: -854, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i - 3*i + 0*i - i - 2*i + 5*i + (-4*i + 0*i + 5*i)*(6 - 1 - 2) - 119*i + 194*i - 106*i.\nAnswer: -29*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kc when two letters picked without replacement from hkhkxkkyhyxhchkxcvk.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -14. Solve g*j = o + 3, 5*j = o + 14 - 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8640*a + 21605 wrt a?\nAnswer: 8640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 15*q**2 - 15*q + 6. Suppose -3*g = -6*c + 3*c + 45, 0 = -2*g + 2. What is the least common multiple of 22 and x(c)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -o**6\/180 + o**3\/6 + 3*o. Let k(x) be the second derivative of j(x). Let i(a) = -2*a. What is i(k(v))?\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 + 585*o - 1190.\nAnswer: 5*(o - 2)*(o + 119)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*u + 8*u - 220 = 36 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 b when two letters picked without replacement from bzzrbrbbrbbbr?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10101 + 10121?\nAnswer: 20222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3306\/(-190) - (-5 + -12) - (0 + 221\/10)?\nAnswer: -45\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62969240591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a. Let v(j) = 17*j. Let d(x) = 26*c(x) + 6*v(x). Let b = -1 + 2. Let i(n) = -b + n + 1. Calculate d(i(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5 - 4. Suppose -s*k + 24 = 5*r - 0*k, -28 = -5*r - k. Find the third derivative of -7*w**2 + 0*w**2 - 4*w**r + w**6 wrt w.\nAnswer: -360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40.4 - -40.7. Let p be (-84)\/38 + 3\/6. Let l = 4\/19 + p. Which is the second smallest value? (a) l (b) x (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2971*z**2 + 2971*z**2 - 90*z - z**3 as p*z + t*z**3 + g + h*z**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -8*l + 6. Let d(h) = 17*h - 13. Let b(j) = 6*d(j) + 13*s(j). Let u(a) = -9*a. Determine b(u(f)).\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 316*f - 43352. Determine a(137).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 y when four letters picked without replacement from {q: 4, y: 1, r: 3, n: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/15 + (-1)\/5. Suppose -19630 + 1203 = -3*q - 2*y, l = -2*q - 3*y + 12283. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 730 and 342637180?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*c - 2822 = -145*c - 45*c for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 956\nAnswer: 1\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**4\/12 + a**2. Let j(r) = 51*r - 42. Let s(i) = 5*i - 4. Let f(d) = 2*j(d) - 21*s(d). Give f(x(c)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/8 equal to 78\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -1221?\nAnswer: 2\/407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 86203, 86202, 86199, 86194, 86187, 86178, 86167?\n\"Answer: -o**2 + 2*o + 86202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**2 + 17058738*a + 51176196 = 0 for a.\nAnswer: -8529366, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/918 and -1\/54.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-2)*1 + -1. Let w(d) = -d**2 - 26*d + 2. Let v be w(-26). What is the third derivative of -h**v - 3*h**g - 3*h**3 + 4*h**3 wrt h?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.19 + -5.2. Suppose 0*d - 3 = -3*d. Which is greater: d or v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 95120*f**3 - 41*f**2 + 13912446*f?\nAnswer: 570720*f - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302352395?\nAnswer: 5, 17, 97, 36671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 167*w**2 + 174*w**2 - 341*w**2 - 135 + 4*w**3 to t*w + i + g*w**2 + k*w**3 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 - -39. Suppose 2*x + 76 = l. What is the derivative of -557*j**3 - 27*j**4 + 557*j**x + 6 wrt j?\nAnswer: -108*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, -0.5, 0.01, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 0 - 5*g**2 + 1\/12*g**4 + 1\/6*g**3 + 4*g. Calculate z(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.38 and 0.4.\nAnswer: -0.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 6\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one eighths of a gram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*u - 2*x + 3*x, 3*x - 6 = -2*u. Suppose -u*b - 14 - 4 = 0. Let j(q) = -q - 3. Let z be j(b). Solve 4*k + t - 12 = -z*t, -4*t + 30 = -5*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -44*k + 13. Let i be 1\/5 - 427\/35. Is b(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(4) + 0 + 0 + -5*sqrt(18)\/sqrt(6)*6)**2.\nAnswer: 2523","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 7 = -20. Let b be ((-8)\/12)\/(2\/d). Let a(k) = -b*k - 2*k + 3 + k + 0*k. Give a(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*p = -80, -4*p + 88 = 3*g - 6*p. Let m = 1569 + g. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*(m\/(m*m**1))\/m)**(27\/5))**9)**(3\/5) assuming m is positive.\nAnswer: m**(-729\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -1. Suppose 0*f = -2*f - 4*s, -10 = -y*f - s. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1323)\/(-378) + (-1 + 0 - 5). Which is the third smallest value? (a) 1\/4 (b) 1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 18 = 2*p, 0 = 8*w - 4*w - 16. Calculate the highest common divisor of 5941 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*m - 88 - 784. Is -109 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -4. Let s(v) = 6*v**2 + v - 2. Let k be s(1). Solve 0*t - 21 = 4*t + k*d, -3 = l*d for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270 = 5*g - 5*l, -3*g - 3*l + 280 = -8*g. Let q = g - -105. Suppose -2*f - 2*f + 48 = 0. Calculate the remainder when q is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (56*(-17)\/(-9520))\/((-3)\/(-690))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.95 - 5. Let u = -0.15 - s. What is the closest to u in 3, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.23 + -1.23. Let k = v + 0.2. Suppose 20 = -m - 3*m. Sort -1\/9, m, k.\nAnswer: m, k, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 2*s**2 - 5*s - 1. Calculate the remainder when 17 is divided by f(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1030)\/75 - (-6)\/15) + 2240\/(-1344)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**2\/7 + 1408*o + 235392\/7 = 0.\nAnswer: -4904, -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-128)\/10*(-2400)\/1920.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19309278337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 4*b**2 + 2*b - 3. Let h be t(4). Let l = -5 + h. Is l > 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -9*g**3 - 31*g**2 - 107*g + 64. Does 10 divide v(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/33 smaller than 8.1031?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 436, 459, 496, 553, 636, 751?\nAnswer: 904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 152920.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u**3 - 5*u**3 - 33*u**3 + 4 + 53*u**3 + 7*u**3.\nAnswer: 15*u**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72969303 and 230631.\nAnswer: 3909","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-23 + 2 - -2) + (176 + -475 - -275)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/3 (b) 3\/4 (c) 5 (d) -20 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 603, 9, 0, -3.\nAnswer: -3, 0, 9, 17, 603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - -32419941111.\nAnswer: 32419941107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**2\/9 + 28442330*a\/9 = 0.\nAnswer: -14221165, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 5*u**2 - 8*u - 17. Give n(-7).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -107 + 43. Let b = -108 - -217. Let n = b + y. Does 15 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -u**5\/20 - u**4 - 8*u**3 + u**2. Factor m(z).\nAnswer: -3*(z + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - (19 - (23 - 1) - (0 + -11)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -21*r + 39. Let b(t) = 4*t - 8. Let j be 13 - 35 - (-2 + -3 + 7). Determine j*b(y) - 5*k(y).\nAnswer: 9*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 45600468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/39*502\/(-1255).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7021 + 7022. Suppose 0 = g - 5. Which is the nearest to l? (a) -0.3 (b) 0.04 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 3368*t**2 - 4*t + 55. Determine j(0).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109675789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -146*(4\/(-18)*594\/(-88) - 5) and 365?\nAnswer: 2555","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**2*r*t*v + h**2*t*v - 2*h**2*v + 2*h**2 - 2*h*r*v - 22*h*t*v + r*t*v + 3*t*v wrt h.\nAnswer: 2*r*t*v + 2*t*v - 4*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p**2 + 4*p + 2. Let y(h) = 11*h**2 + 12*h + 5. Let l(f) = 3*y(f) - 8*z(f). Let x = -75 + 71. Determine l(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 2, 6, 12, 20?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/8 of a century?\nAnswer: 1950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11452213 - -2?\nAnswer: 11452215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -473, -475, -477, -479?\nAnswer: -481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 + 209128*q**2 - 418250*q + 209124.\nAnswer: -2*(q - 104562)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1901781157.\nAnswer: 373, 1423, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2014\/9063*6\/((-4)\/18*-15)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11 - 7128\/(-1540)*14\/(-6)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*j - 6405 = 7*j. Let z = j + -222. Calculate the remainder when 160 is divided by z.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46 - -48. Suppose 3 = -w + 1. What is the closest to q in w, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8315964533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3341231342?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214205667.\nAnswer: 3, 13, 1327, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20445?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2935, 23513, 79323, 187975, 367079?\n\"Answer: 2935*c**3 + 6*c**2 + 15*c - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 + (-60 - -54) + -91?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1000 (base 7) to base 10\nAnswer: -343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-2))\/((-6)\/(-16)). Let n(j) = j. Let c be (-12 + 4)*-1*6\/16. Let i(b) = -b - c*b + 5*b. What is p*i(k) - 5*n(k)?\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -12054442 and -12054461 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z*z**(-29))\/z))**(17\/2)\/(z*(z\/(z*z**25))\/z*z**22\/z))**(-2\/21) assuming z is positive.\nAnswer: z**(-74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 364 at most as big as 330276\/907?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/11, -70466, -2\/15?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 3\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j + 0*j + 2*j)*(-2 + 2 - 2)*(-2 - 2 + 1)*(20 + 33*j**3 - 20) to the form z*j**4 + v*j**3 + a + n*j**2 + g*j and give z.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 44968 divided by -511?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 + (-5)\/30*0. Let n(j) = -4*j**2 - 17*j - 11. Let b(i) = -2*i**2 - 9*i - 6. Determine w*n(x) + 11*b(x).\nAnswer: 2*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -4*h + 18, 3*h + 2*k - 4 = -2*k for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/34)\/(n**(4\/13)*n*n))\/(((n\/n**25)\/n*n)\/(n**(19\/2)*n)) assuming n is positive.\nAnswer: n**(7095\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(3\/22)*a\/(a*a**(-24)))**(2\/5))**(-16) assuming a is positive.\nAnswer: a**(-8496\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 2*p - 8 = 5*t, 0 = -5*p for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1.3094 - -1.16\nAnswer: -0.1494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 7161 - 21333 = 0. Let i = 7970 + l. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 2 + 7*h**2 + 18)*(-h**2 + 0*h**2 + 3*h**2)*(3*h - 5*h - h)*(4 - 1 - 2).\nAnswer: -42*h**5 - 180*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 237, 558, 959, 1440?\nAnswer: 2001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 962 and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227879*r - 3*c - 16 = -227880*r, 3*r - 3*c - 48 = 0 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.0541 - 0.2\nAnswer: -0.1459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gfgl when four letters picked without replacement from {g: 2, k: 1, m: 3, l: 1, v: 2, f: 3}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.319 - -0.319. Is u at most as big as 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of 89*s**5\/60 + s**4 + s**3\/3 + 41*s**2 + s. Find the second derivative of f(q) wrt q.\nAnswer: 178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 274092 and 2664?\nAnswer: 60848424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -92, 5, 260, 751, 1556, 2753?\n\"Answer: 13*f**3 + f**2 + 3*f - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(2 + (1 - 2)). Let k = -0.67 - -0.6. Let r = 0.05 + 0.25. Which is the second smallest value? (a) r (b) k (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3741*h - 3735*h = 84. Sort -4, -0.5, 0.1, h in descending order.\nAnswer: h, 0.1, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-3)*-3 - 4. Let g be (6\/m)\/((-15)\/10). Let v(z) = 1 - g - 2*z**2 + 3. Let i(f) = -f**2. Determine v(i(l)).\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 7:30 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.58 + -26.27952468?\nAnswer: -25.69952468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 3*w**2 + 0*w**4 + 0*w**7 + 1\/42*w**8 + 0*w + 0 - 7\/60*w**5 + 0*w**6 + 0*w**3. What is the third derivative of i(b) wrt b?\nAnswer: 480*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-98)\/(-7))\/28)\/(2\/(2*8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1068719 + 3427140. Let h = -18915249\/8 + s. Let w = -5976 - h. Find the common denominator of w and 73\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 199*i. Let x(o) = 20*o. Determine g(x(n)).\nAnswer: 3980*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 878014.3 meters?\nAnswer: 878014300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -402\/5 + 81. Let h be (-5525)\/(-50) + (-6)\/(-4). Let s = 107 - h. Which is the biggest value? (a) t (b) s (c) -3 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.803 + -0.903. What is the third biggest value in 290, l, -2\/3, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-5 + -6*(sqrt(833) + 0 - sqrt(833))))**2 + 2)*2 + -1 + -5.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2398 + -3364. Let h = -686 - x. Suppose -5*d = -10*d + 5*u + h, 3*u + 222 = 4*d. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of s**4\/4 - 13*s**3\/3 + 11*s**2\/2 + 18*s - 87. Let m be n(12). Let c(v) = v**2 - 5*v - 8. Give c(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -2) + (-22 - -21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 334700 to the power of 1\/2, to the nearest integer?\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 29439942 to the power of 1\/2, to the nearest integer?\nAnswer: 5426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 561 is divided by 493.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50225 and 31775?\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 408 and 680.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 w when two letters picked without replacement from {s: 2, w: 7}?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5*u - 3*u - 272 = 0, 2*c = 2*u + 268. Calculate the highest common factor of 1593 and c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 854136 and 936?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 16 + 3 + -104 + 79\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -182?\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 774*j**2*p*v**5 - j**2*p*v**3 - j**2*p + 23*j**2 + j*p*v**2 + 2*p*v wrt v?\nAnswer: 46440*j**2*p*v**2 - 6*j**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 2*f + (4 + 0 - 8)*(4*f + 4 - 4) + (2*f + 2*f - 3*f)*(3 - 1 - 4) + f - f + f.\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -4*j + 3*j - 585 + 525, -4*z - 3*j = 275 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 19*k - 30. Is 6 a factor of s(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6594)\/273 - -24) + 134\/26.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -243985*u**3 + 2051*u**2 + 897 wrt u.\nAnswer: -1463910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3179559 - -3201635.27. Let i = 22178 - f. Let h = i - 101. What is h rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 1 = -4*a, -2*a = -5*x + 30 - 13. Let w(b) = -861*b + 1. Let u be w(-1). Suppose -a*i = -2*i - u. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j**2 + 5*j**2 - 4*j**2 - 4*j**2 to the form h + d*j**2 + w*j and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -70\/6392619 and 13\/86178?\nAnswer: 677617614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7199 and 4.\nAnswer: 28796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/7)\/(p*p**(3\/7)*p)*(p**(1\/4)*p*p)**13 assuming p is positive.\nAnswer: p**(743\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 4*v - 6, -i = -6*i - 3*v + 8. Let z(n) = 4*n - 1. Let p(r) = -8*r + 2. Let w(m) = -3*p(m) - 7*z(m). What is w(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 189.6183 millennia to months.\nAnswer: 2275419.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 204\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**3 + 6*g**2 + g + 3. Let q be 126\/(-35) + 4\/(-10). Let o be z(q). Let h be 1\/(-3) - o\/45. Is h greater than or equal to 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*m**3 + 3*m**3 - 5*m**3)*(m + 0*m + m) + m**2 - 1030*m**3 + 1030*m**3 + m**4 to u + l*m**3 + w*m**4 + x*m + i*m**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qrqqrqqrqq. What is prob of sequence qrq?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9424 and 11376288.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-2) - 1\/(-2). Let l = 146 + -129. Let p = n + l. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1305, 2617, 3929, 5241?\nAnswer: 6553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 888778201 to the nearest integer?\nAnswer: 29812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a day in minutes?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 4 + 80\/27*m**3 + 2\/189*m**7 - 32\/9*m**2 - 5*m - 25\/27*m**4 - 1\/9*m**5 + 2\/27*m**6. Solve f(v) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1113512*c**5 + 1462894*c**2 wrt c.\nAnswer: 66810720*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -179\nAnswer: 4\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l. Let o(b) be the third derivative of -b**5\/30 - 37*b**4\/24 + 143*b**2. Calculate a(o(w)).\nAnswer: 8*w**2 + 148*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 2*p**2 + 4*p + 3. Let w be y(-3). Let c be (-4)\/7 + (-24)\/(-42). Suppose c = -x - 0*x - 2*m + 3, 5*x = -5*m + 5. Sort x, -4, w.\nAnswer: -4, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1937116.8 microseconds?\nAnswer: 0.03228528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1081235 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 9*j + 4. Let h be i(13). Let f = h - 21. Let q be 56\/(-5) + 7\/f. What is the second smallest value in q, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -15, 0.052, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5029413111369.1 plus -5?\nAnswer: -5029413111374.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1026189*f**2 - 513092*f**2 + 27*f**3 - 513097*f**2.\nAnswer: 27*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -94, -0.2, 4\/7, 2, 1.024, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21691880?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and 589.448 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -13*q - 42. Let j be i(-4). Solve 2*r - 8 = -3*v, 0 = -5*v + j for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11354999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.16 and -11829.\nAnswer: -11828.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -1 + 2*z + 1. Let t(y) = -y**3 - 4*y**2 + 6*y + 7. Let q be t(-5). Let x(g) = -q*g - 13*g + 0*g. What is x(w(a))?\nAnswer: -30*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-4490882)\/7039*2\/(-44)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/5487 and -97\/6755210.\nAnswer: 1195672170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n**3 - 3*n - 1. Let q(m) be the second derivative of 13*m**5\/20 - 4*m**3\/3 - m**2 - 1406*m. What is -8*f(a) + 3*q(a)?\nAnswer: 7*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 e when two letters picked without replacement from aaleelae.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-3) - (-4)\/(-6). Let c be 2*(-3)\/(-12) + 5\/2. Suppose n = -l - c*l - 4. Which is smaller: -1\/13 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/3 (b) -0.1 (c) 19.4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 85 = 5*f, 3*f - 5*f + 2*p + 34 = 0. Let i = 17 - f. Suppose -u + 5*u = i. Solve 16 = -u*v - 4*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-20)\/21)\/((-44)\/(-594)))\/((-134)\/(-469))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1840788 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9555845l?\nAnswer: 955.5845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 4:41 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -85.08 + -2.92. Let m = r + 87. What is the third smallest value in m, -131, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2490502 is divided by 5765.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 16\/5 + 52\/5*q + 10*q**2 + 8\/5*q**3 - 6\/5*q**4 = 0.\nAnswer: -1, -2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a decade in months?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4796 (base 10) to base 5.\nAnswer: -123141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*y - 40*y + 11*y - 28*y.\nAnswer: -70*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 9*-3*(-2)\/(-18)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -1000010100000001100?\nAnswer: 1000010100000001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1111100101000111 (base 2) to base 9\nAnswer: -106475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18572)\/478229)\/((-74)\/103).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of 1\/10*h**5 - 10*h + 0*h**2 + 0 + 8\/3*h**3 + h**4. Factor d(j).\nAnswer: 2*j*(j + 2)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -136.5858 and -9.37.\nAnswer: -145.9558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-7155)\/53)\/(1 - 2) is divided by 68?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 16\/3 (b) 0.5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/253812 and -73\/156.\nAnswer: 253812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -148 times 27?\nAnswer: -3996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1736 - -178810\/103. Let t = -81\/1133 - o. Sort -1, 0, t in descending order.\nAnswer: 0, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 155.89 and -0.01.\nAnswer: -1.5589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 36696797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5*m - 9. Let s(q) be the third derivative of q**4\/24 + q**3\/6 - 25*q**2 - 2. Determine r(l) + 3*s(l).\nAnswer: -2*l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-391)\/(-51)*(-1 - -10) and 30?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of b**7\/70 + b**5\/20 + 325*b**3\/6 + 130*b**2. Find the first derivative of x(g) wrt g.\nAnswer: 12*g**3 + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -3\/79181?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 1 (b) -51 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 442 a factor of 805766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((1215\/210)\/9)\/(12*2\/160))\/2?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-42) + 40\/7. Let u = 8 - i. Suppose o - 4*x = -3*x + 20, -u*o + 40 = -4*x. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -170408.5276676 + 173075.527666007. Let s = w - 2667. Round s to seven decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1285, -1284, -1283, -1282, -1281?\n\"Answer: a - 1286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 0.071\nAnswer: -0.0213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104 - 117*l - 104.\nAnswer: -117*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 4*u**2 - 3*u - 2. Suppose 3*j + 43 = 55. Let p be g(j). Let w = p - -19. Solve 2*l + 1 = -l + q, -5*l - 5*q = -w for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -15*j + 3230. Let l be s(0). Round l to the nearest one hundred.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 94 - 91. Let x(o) be the first derivative of -11 + 2\/7*o**2 + 2\/21*o**j + 2\/7*o. Suppose x(v) = 0. Calculate v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4481003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 1:14 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 13100 = -5*a, 4*a - 188*s = -192*s + 10516. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r**3 - 497*r**2 - 162*r - 442. Give k(166).\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2636*k - 408 - 30 + 2709*k. Determine v(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 3)\/(2\/(-20)). Find the common denominator of ((-39)\/75 + 2)\/(32\/(-20)) and 86\/p*15\/(-6).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4759452 and 20820?\nAnswer: 4164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2242 + 1043*p - 2242.\nAnswer: 1043*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2520220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - i = 4, -1 + 21 = -b - 5*i. Suppose j - 4*g = -5*g - 3, -1 = -j - 5*g. Let n = j + 7. Solve 3*p + 0 + n = b for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1518 - -1866. Suppose 6*h - 5*h - 350 = 0. Is h < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -1441865\nAnswer: -720932.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19ab4 (base 12) to base 5.\nAnswer: -2202424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 82*b + 410. Let n be a(-5). Solve 2*w = j + 1, -4*j + n*j = 4*w - 32 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r - 427 - 133 = 42*r for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60386 and 872?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + s - 545 = 0. Let g = s - 58. List the prime factors of g.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -8 + (-9 - (2 - 324)\/7). Solve -11*s = -r*s - 54 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 715 - 719.09. Let c = -4.818 - -0.118. Let b = s - c. What is b rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 147, -4285, 2 in descending order.\nAnswer: 147, 2, -3, -4285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -1\/21*s**3 - s + 1\/21*s**4 + 1\/70*s**5 + 0 + 0*s**2 - 2\/105*s**6. Find f such that n(f) = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 7 = -3*w - 8. Solve -6 = w*u - 4*d - 32, u + 4*d = -11 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/((-192)\/156)*(-9)\/(27\/(-6))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3484260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -u**6\/840 - u**5\/140 - u**4\/84 + 7*u**2. Factor q(x).\nAnswer: -x*(x + 1)*(x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 986, 4087, 9268, 16541, 25918?\nAnswer: 37411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238*i**3 + 1669*i + 576*i**3 - 1669*i.\nAnswer: 338*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a + 2a?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**5 + 5324*d**4 + 158012*d**3 - 342604*d**2 - 158008*d + 337280 = 0. What is d?\nAnswer: -31, -1, 1, 2, 1360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1953 by -4.\nAnswer: -1953\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 192744249\nAnswer: 192744252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010 + 10100?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1126 or -1146?\nAnswer: -1126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1686592697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 q when three letters picked without replacement from geggggqggqeggegqeggq?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 7*p - 143 = 0. Let a = -66 + p. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 132, 351, 740, 1317, 2100, 3107, 4356?\n\"Answer: 3*l**3 + 67*l**2 - 3*l + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b - 135 = -3*u + 12, 0 = -4*b - 5*u - 23 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74279 is divided by 766.\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of 0 + 0*d**3 - 2*d - 1\/12*d**4 + 0*d**2. Let q(x) = -5*x**2 + x + 2. Calculate -6*p(s) + q(s).\nAnswer: s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 21\/4*2\/15 + (-31)\/31\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 83 - 78. Solve z = j*z + 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28682757 - -2945568?\nAnswer: -25737189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 47 - 25 + 1171*r.\nAnswer: 1171*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -69 - -74. Suppose d + g*f = 33, 5*d - 7*d + 3*f = -53. What is the remainder when 111 is divided by d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 (base 16) in base 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 + -203?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**2\/w)\/w)\/w)**(-8\/3)\/(w**(1\/3))**(6\/25) assuming w is positive.\nAnswer: w**(194\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4*u + 16 - 60 = 0, 6 = -2*u. Put 2, -27, x in increasing order.\nAnswer: -27, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 6760)*(188 + -185) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.6 - -1.4. Let a = 1.999922 - c. Round a to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-15))\/(5\/(-25)). Let b be (9\/((-27)\/(-6)))\/a. Which is bigger: -0.18 or b?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4244436 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (5 + (sqrt(720) - (sqrt(720) + -1)) - (0 + sqrt(720)*-2)))**2.\nAnswer: 144*sqrt(5) + 2889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 90283752 divided by -104\nAnswer: -868113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*d + 42 - 237 = -64*d. Let h = 2 - -6. Suppose -3*t - 7 + 1 = 0. Which is the nearest to d? (a) h (b) 0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/3 + 5\/(-3). Suppose -t = -4*t + 4*d + 3, t = -5*d + 20. Is g*t*(7 + -10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84*14013.\nAnswer: -1177092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -238070 + 343994. Suppose 3283924 = -7*a + i. Round a to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 9. Suppose 4*r - 7 - 17 = j. Let i(g) = g**2 - 6*g - 4. Calculate i(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59815 and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 412059559 to the power of 1\/2, to the nearest integer?\nAnswer: 20299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 25*v**3\/2 + v**2\/2 + 437*v + 1. What is q(1)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(3*4\/24))\/1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*g**2 - 3 + g + 4 - 1 to the form i*g**2 + z*g + u and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) 62 (c) -2 (d) -12 (e) -0.042\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -133260.81 to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*20*(-6)\/(-50)*70\/(-63)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-286)\/(-10) + (-912)\/1520.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of n**7\/21 + 23*n**6\/60 + n**5 + n**4\/3 - 8*n**3\/3 + n**2 - 270. Suppose q(r) = 0. What is r?\nAnswer: -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 157, 163, 171, 181, 193, 207?\n\"Answer: j**2 + 3*j + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (2 - 0) - (51 - 52)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1500)\/4)\/((3435\/(-4122))\/(2\/12))\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2911, 4210, 6389, 9460, 13435?\n\"Answer: 2*g**3 + 428*g**2 + g + 2480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 4*b**2 + 1\/24*b**4 + 1\/6*b**3 + 0 + 17\/30*b**5 + 0*b. What is the tens digit of y(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t + 21. Let g be v(-8). Suppose -2*m - 3*f = -23837, 34020 - 10159 = 2*m - g*f. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 65\/204 or 0?\nAnswer: 65\/204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (2\/4 - (-15)\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 2*w. Let s(f) = -285*f**2 + 90*f. Let p(b) = -6*o(b) + s(b). What is the second derivative of p(y) wrt y?\nAnswer: -558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/3 + 21700*c**2\/3 + 19627648*c + 39226368.\nAnswer: 2*(c + 2)*(c + 5424)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 - -11 - (-15 + -11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(26) + sqrt(416)*1 + sqrt(416) - (sqrt(416)*2 - sqrt(26)))\/((sqrt(8) - (sqrt(128) - sqrt(32)))\/sqrt(4)).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13737 + 13761. Solve g*u = 15*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30661495 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 109577253*n**3*o*v + 2*n**3*o - 31*n**2*v - 2*n**2 - 779*n*o*v + 12*o*v wrt n.\nAnswer: 657463518*o*v + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6030 = 7081?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -30, -79, -142, -219, -310?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.022 + 0.022062. What is b rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -735607 at least as big as -735607?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -584*b**2. Let x(d) = 546*d**2. Calculate o(x(p)).\nAnswer: -174099744*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -45 or -306\/7?\nAnswer: -306\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 9:28 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357350.\nAnswer: 2, 5, 7, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 16 + -6 + -24?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83 - 313 = -66*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -117 - 2812\/(-532)*21\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19820 - 9*z**3 + 2*z**3 + 19826 - 39646.\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-15)*(-5)\/(-2))\/(((-132673)\/(-33666))\/(-733))?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**4 + 0*y**2 + 0*y**2 - 2*y**2 - 8*y**3 + 5*y**3 - 2 to p*y**3 + m*y**4 + q + f*y + t*y**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.279 rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + d = -9, 4*u + 4*d + 145 - 169 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 0*j - 4*j + 6, 0 = -3*f - 3*j + 54. Suppose -4*t + 42 = -2*t. Which is bigger: f or t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8396*a**4*r**2 + 3*a*r - 2*a - 490*r**2 - 2*r wrt a.\nAnswer: 100752*a**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/30 + 0 - (-22)\/(-55).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 31*c + 113. Suppose 2058*l - 2037*l + 84 = 0. Calculate p(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(5\/9)*m*m**(-2\/57))**(-5\/4))**12 assuming m is positive.\nAnswer: m**(-1300\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 47250?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 14, m: 2, p: 1}. Give prob of sequence gp.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -4 + 3 + -3 + -6 - -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + -35. Let k = y - -34. What is the remainder when k is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -58, -101, -130, -145, -146, -133?\n\"Answer: 7*n**2 - 64*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((223\/446)\/((-2)\/(-172)))\/(5\/(-2))?\nAnswer: -86\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32574 + -228020\/7. Let p = -0.3 + 0.1. What is the closest to u in p, 0.9, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-4)*(15\/513)\/((-69)\/(-828))\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 + 26. Let y(m) = m**3 + m**2 - m + 1. Let h(t) = -91*t**3 - t**2 + t - 21. Let j(d) = g*y(d) - h(d). Differentiate j(o) with respect to o.\nAnswer: 270*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6607.09 rounded to the nearest 10?\nAnswer: -6610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 80 + -206. Suppose -2*t + 2*s - 32 = 0, 5*t + 48 = 2*s - 20. What are the prime factors of (-4)\/t*n\/(-2)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7103529340?\nAnswer: 2, 5, 355176467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 121 = -p - w, -5*p = 2*w + 617. Let k = -352\/3 - p. Let r = -55\/6 + k. What is the second smallest value in 2\/7, 1, r?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-4)*(-348)\/(-87)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39108, -156445, -352010, -625803, -977824, -1408073?\nAnswer: -1916550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 559 a factor of 2388048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y + 0*y + 2*y)*(1 - 4 + 4) - 14*y + 291527 - 199*y - 291529 to the form x + u*y and give u.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1213\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -2*d**3\/3 + 3*d**2\/2 + 82. Give j(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 360 and 78864?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k\/k**3*k)\/k))\/k**9*k**8\/k**(2\/15))**(-2) assuming k is positive.\nAnswer: k**(-56\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3*s - 321 = 0, 107 - 103 = -s. Solve 124*b - 78 = n*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*t - 37*t = -0*t + 269*t + 19390 for t.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2.7411672 months?\nAnswer: 0.002284306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1049448 and 124392.\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/17)\/z*z\/(z\/(z*z**(-29)*z)) assuming z is positive.\nAnswer: z**(-475\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 99670\/(-44)) + 0. Suppose -8 = 2*x, 5*o - 2169 = -5*x - 13514. Let c = o + b. Calculate the common denominator of -77\/8 and c.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 2 + (5 - (5 - (-2 - -5))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-45)*(-216)\/288.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-6))\/(2\/3711). Let l = 9929\/8 + f. Find the common denominator of 42 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*a + 3*h + 2, h = 2*a. Let i be a\/(-4) - (63\/6 + -2). Put -5, -2, 5, i in ascending order.\nAnswer: i, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 12*r - 7*r = 15502380, 3*i = -5*r + 11626780. What is i rounded to the nearest one hundred thousand?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 12*l + 13. Let t be 16\/40 + 43\/5. List the prime factors of p(t).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42270 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16641701 and 1619.\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9048890941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -67.23177048 rounded to 1 dp?\nAnswer: -67.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 26349 = -3*n, 0 = -5*z + 7*n + 127365 + 4332. List the prime factors of z.\nAnswer: 3, 67, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(-15)\/6 + (-564)\/24. Let k(j) = j**2 + 5*j - 21. What are the prime factors of k(p)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354 is divided by 36?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(5200) + (sqrt(5200) - (sqrt(5200) + 3*sqrt(5200)*-3)) + sqrt(5200))\/(sqrt(100) + 3*(sqrt(100)*-4 - sqrt(100))))**2.\nAnswer: 1573\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25644610039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42 by 4009.\nAnswer: -42\/4009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -232*f**2 - 297.\nAnswer: -464*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, i: 1, e: 5, t: 1, a: 3, r: 3}. Give prob of picking 1 k, 1 a, and 1 i.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 0.2, 161?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170640.\nAnswer: 2, 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 times -44.63\nAnswer: -0.4463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1, 5\/4 in descending order.\nAnswer: 5\/4, 1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 4*y + 20 = 4*h, -17 = -4*h + y. Suppose 5*u = u + h. Calculate the highest common divisor of 4 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1460 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 29241 from 0.\nAnswer: -29241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 56813014073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -49148262, -98296555, -147444838, -196593105, -245741350, -294889567, -344037750?\n\"Answer: f**3 - f**2 - 49148297*f + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -12*s. Let x(z) be the second derivative of -z**4\/6 + 5*z. Give x(d(r)).\nAnswer: -288*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -22*j + 61. Let n be (186\/155)\/(2\/(-25)). What is the tens digit of p(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 3186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -8\/43?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -545\/49 - -45351\/4214. Let a = 231391\/22 + -10515. What is the common denominator of r and a?\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -175222 + 350258 - 325*l - 175356 - 5*l**2.\nAnswer: -5*(l + 1)*(l + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/(-245) - (-100)\/(-14)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 12, t: 3, i: 2}. Give prob of sequence zii.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-12) + (-267)\/(-9). Suppose k + 96 = 3*g. Suppose g = 2*q - 3*o, -5*q - 1 = o - 89. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 0*p**3 - 5\/2*p**2 - 3*p + 0*p**4 - 3\/10*p**5 + 0. Let z(s) = -7*s**3 - 6. Calculate 6*l(v) - 5*z(v).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -122*f**4 + 4*f**2 - 24*f + 1 wrt f?\nAnswer: -1464*f**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 12:58 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 15 = 7*u. Let h(j) = j**5 - j**3 - 3*j**2 + 3*j + 3. Let t(m) = -2*m**5 + 2*m**3 + 8*m**2 - 8*m - 8. Let l(d) = u*t(d) + 8*h(d). Factor l(b).\nAnswer: 2*b**3*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 19, 2, -4.\nAnswer: -4, -1\/4, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 n when two letters picked without replacement from {a: 2, l: 1, n: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/5, 0.5, -1795210, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -51 - 2?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 111334640 to the nearest integer?\nAnswer: 10552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 3*h, -5*u - 4*h - 2 + 1 = 0. Sort -3, u, -5, -12 in descending order.\nAnswer: u, -3, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -10*l - 88 - 29 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 60\/(-4) - 8 - -16\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 25*c**2 + 71*c + 88. What are the prime factors of s(-28)?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1920 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9601\/18 - -5024\/9. Find the common denominator of z and 41\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73219967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 c when three letters picked without replacement from dppcc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 472*t**5 - 2778611 + 2778611 + 65*t**2 + 6*t wrt t?\nAnswer: 28320*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*s + 76*s - 4*a = -270, 5*a = -4*s + 522. Solve -s*k = -136*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 109*w**2 - 4*w - 8. Let z be t(4). Let r = z + -1167. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3*s = -96. Suppose -6*y = -2*y - s. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40278929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 42703, -3, 0.22?\nAnswer: 42703","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**9\/w**(-2\/17) assuming w is positive.\nAnswer: w**(155\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 8590?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 7 = 4*i, -i + 13 + 14 = 5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74289655.\nAnswer: 5, 11, 23, 58727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**4 + 30*m**3 + 45*m**2 - 20*m - 60.\nAnswer: 5*(m - 1)*(m + 2)**2*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 93043915?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -5*a - 1. Let d(l) = -38*l - 9. Let i be d(a). Suppose -5*y - 38 = -i. What are the prime factors of y?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of 2 - 1\/60*g**5 - 47\/120*g**6 - 6*g**2 + 0*g + 0*g**3 + 11\/24*g**4. What is the third derivative of i(n) wrt n?\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51962?\nAnswer: 2, 25981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 345*n**2 - 631*n**2 + 275*n**2.\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -127 + 144. Let p(s) = -2*s. Let w be p(-1). Calculate the remainder when (2 + w)\/((-2)\/(-24)) is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 939 or 937?\nAnswer: 939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 305*a**3 - 182370*a**2 + 27255345*a + 1788020 = 0.\nAnswer: -4\/61, 299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -131 + c - 341291*c**3 + 342372*c**3 - c + 2*c**2 wrt c.\nAnswer: 6486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.785677 rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-42)\/21 + 1*11. Suppose 4*q - 8*q + 48 = 0. Suppose -s*a + q*a = 36. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 16*s**2 + 10*s - 10. Let q be 15 - (5 - (3 + 2)). Let d be l(q). Let t = d - -140. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -f**2*k**4 - 178*f**2 + 263*f*k**4 wrt k?\nAnswer: -4*f**2*k**3 + 1052*f*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3168*o**3 - 3*o**2 - o. Let r be x(-2). Let f = r - 278885\/11. Let m = f + 19. Sort m, 0.4, 0.3 in increasing order.\nAnswer: m, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in -4, -2\/65, 4, -1\/3?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159986610?\nAnswer: 2, 3, 5, 7, 84649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -45046948 divided by -7?\nAnswer: 45046948\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1575)*-4 + 4*(sqrt(315)\/sqrt(5) + sqrt(63)))*-3)\/(-1*(1*sqrt(729) + sqrt(729) + sqrt(729)) - (sqrt(729) - -2*sqrt(729)*-4)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5*c + 7 = 0, 3*c + 18 = -5*i + 31. Let g(f) = -4*f. Let y(x) = -5*x - 1. Determine i*y(o) - 3*g(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j - 21. Suppose -4*q + x = -78, -x = 5*q - 47 - 46. Let c be g(q). Let f(h) = -4*h**3. Let p be f(c). What is the highest common factor of p and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*n**2 - 47*n + 1 wrt n.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 8:03 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - l + 21 = 0, -40*p + 38*p - 23 = l for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 11. Suppose 0 = 3*d - 0*k - k - 7, 0 = -5*d + k + x. Let g be ((-3)\/9)\/(((-77)\/357)\/11). Solve 5*z = -n + g, -n + d*n = 3*z - 15 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6612 and 123576.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 13, 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61\/4 of a litre?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, f: 1, r: 1, v: 1, p: 2}. What is prob of sequence vl?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 3*s - 24, -h + 8*s - 4*s + 15 = 0. Suppose 3*p - 483 = -3*z, 0 = -h*z + 3. What is the remainder when p is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.019 (b) 2 (c) 3 (d) 0.25 (e) -0.5 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence piw when three letters picked without replacement from {y: 2, w: 3, q: 1, k: 3, p: 1, i: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.3, 335 in descending order.\nAnswer: 335, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5492.092ml in litres?\nAnswer: 5.492092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (32\/(-4))\/(-1 + -13)*2. Factor 6\/7*l**2 + 2\/7*l**3 - p + 0*l.\nAnswer: 2*(l - 1)*(l + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 19*h**2 - 49*h + 5. Give x(3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvnsnstuvvztvzsutn. Give prob of picking 1 n and 1 z.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*12\/33 + (-1632)\/1584. Put -4.2, 2, -5, y, 1\/4 in increasing order.\nAnswer: -5, -4.2, y, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 - -65 - 71) + 71?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2374225 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 763 is divided by 236?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -2*j + 17, 5*u = -3*j + 6*u + 19. Solve 5*t + 21 = 2*w, -4*t + 6*t = -4*w + j for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ci when two letters picked without replacement from {i: 5, c: 7}?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19.6 + -17. Suppose 0 = -3*d + 8*d + 275. Let f = 109\/2 + d. Is f at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1782\/(-6831) + (-61280)\/(-736)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 4)*(0 + 2*x**2 + 0) + (0 + 0 - 1)*(0*x + 0*x + 4*x**2) + 2*x**2 + 0*x**2 - 3*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -12311 (base 10) to base 8\nAnswer: -30027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**2 + o**2 - o - 18*o**3 - 7 + 22*o**3 as p + b*o + l*o**2 + a*o**3 and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 21. Let l = -5.7 + j. Let f = l - 1. Put -0.3, 0, f in ascending order.\nAnswer: -0.3, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hcacchcaaahycap. What is prob of picking 1 c and 1 h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does -2707 = -109548?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 303*v**4 + 508.\nAnswer: 1212*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b**2 - 15*b - 11. Let l(v) = 2*v**2 + 8*v + 6. Let g = -14632 + 14626. What is g*o(n) - 11*l(n)?\nAnswer: 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*d - d - 13, 2*m = 2*d - 2. Solve -3 = m*v - 4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4*h - 24 = 0, -a = -5*a + 3*h + 13. What is the second derivative of 26*u**3 - a*u**3 + 8*u + 4*u**3 wrt u?\nAnswer: 156*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -1. Let s(t) be the third derivative of 0*t - 1\/3*t**3 + 1\/60*t**6 + 0*t**4 - 35*t**2 + 1\/60*t**5 + 0. What is -4*n(u) + s(u)?\nAnswer: 2*u**3 + u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 5*q**3 + 178*q**2 + 104*q - 45. What is f(-35)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123655.\nAnswer: 5, 7, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2342, 4573, 6804, 9035?\nAnswer: 11266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -5*b**3 + 2*b**2. Let m(g) = -g**2 + 44*g**2 + 3*g**2 - 110*g**3 - g**2. Determine 45*c(i) - 2*m(i).\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 8. Let f be (10\/6)\/(y\/(-24)). What is the greatest common divisor of f and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + 1*-2*sqrt(500))**2 + 0 + -1.\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1587\/5 (b) 1\/3 (c) -0.3 (d) 4 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2144844971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 5, -0.2, -1.2 in increasing order.\nAnswer: -1.2, -2\/7, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52*a**2 + 5*a**2 + 0*a**2)*(0*a**3 - 3*a**3 + a**3).\nAnswer: -114*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 11:34 PM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -62*l - 413. Let p be s(-18). What is the highest common factor of p and 836?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -4, 67, 113?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -5, -1, -134?\nAnswer: -134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -197, -387, -579, -773, -969?\n\"Answer: -g**2 - 187*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 10*j**2 + j - 8. Let p be v(10). Suppose 4*t - c + 274 - 1911 = 0, -p*t + 4*c = -822. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + 11857\nAnswer: 11857.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 142*a*n**2*o**3 - 2*a*n*o**2 + 105*n**2*o**3 - 2*n**2*o**2 - 1474*n*o**3 + 915023*n + 1 wrt o?\nAnswer: 852*a*n**2 + 630*n**2 - 8844*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/5 + 32\/(-55). Let x = -29\/45 - -4\/9. Which is the nearest to m? (a) x (b) -0.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 6:21 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 384 + (2\/5)\/((-6)\/15).\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = y + 2*a + 12, 3*y - 5*a + 13 = 0. Let f be (1 - 0)*(13 + y). Suppose -102 - f = -13*u. Calculate the greatest common divisor of u and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-2\/9)*x)\/x)\/x**(-4))**(-20) assuming x is positive.\nAnswer: x**(-940\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*v - 0. Let o be (-2 - -12) + -1 + v. Let n(x) = x**3 - 7*x**2 - 7*x - 4. Let s be n(o). Solve -f + 33 = -2*i - 6*f, s*i = f - 11 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 353*v + 65*v - 2 + 248*v.\nAnswer: 666*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l = -0*l - 11. Let i = 35 + -30. Let w = 6 - 5. What is the nearest to l in i, -16, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 1\/2, 2, -0.9, -3, -1.929?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/30)\/(1 - (-4316)\/(-4314)). Let t = r - 338. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/8)\/((-44)\/(-40)*-5)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/688 and -73\/3612?\nAnswer: 14448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2775 a factor of 1794525900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 104 + (-523 + 482 - (-5 + -46)).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**2 + 89915*y + 34134300 = 0 for y.\nAnswer: -17595, -388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/4)\/((-2)\/20). Suppose 0 = -z + x*m + 8, 3*m + 0*m = -3. Solve -z*p = -p + 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*d - 5*d + 15*d)*(-320*d**2 + d**3 + d**3 + 313*d**2) as h*d + o*d**4 + j*d**2 + r + f*d**3 and give f.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 194223167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71881*d = -71900*d + 3576959. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = 4*y - 356. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1103\/591560 + -1\/1286. Let k be (86474\/1380)\/(9 - 5). Let a = k + r. What is the common denominator of a and -14\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30*i**2*n*x**2 - 5*i**2*n + 15*i*n*x**2 + 49*i*n - 2*i*x + 35*n*x**2 + 5*x wrt x.\nAnswer: 60*i**2*n + 30*i*n + 70*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, -6, 150, -1, 0.2 in descending order.\nAnswer: 150, 0.2, 1\/8, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**5 + 105*s**4 + 1032*s**3.\nAnswer: -3*s**3*(s - 43)*(s + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26837\/67130 + 3\/13426. Which is the fourth biggest value? (a) -4\/5 (b) -4 (c) m (d) -47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t**2*w**3 + 7*t**2*w + 7*t**2 + 17080*t*w**5 - 15*t*w + 2*t wrt w?\nAnswer: 6*t**2*w + 341600*t*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2448739, -4897472, -7346207, -9794944, -12243683, -14692424, -17141167?\n\"Answer: -v**2 - 2448730*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7489 or 7468?\nAnswer: 7468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 5*n + 25, -3*n + 0*v - 15 = 3*v for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20252 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2130472119?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -127*a**2*x**2 + 8*a**2 - 795*a*x**3 - 3550*a wrt x?\nAnswer: -254*a**2*x - 2385*a*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 62695 >= 62686?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + 5 + sqrt(90)\/sqrt(2) - ((1*sqrt(450) + sqrt(450))*6 - sqrt(450))\/sqrt(10))**2*-3.\nAnswer: -13743 + 1620*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2\/7 - 2391708*c - 50225904\/7.\nAnswer: 4*(c - 4185492)*(c + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 420041*p + 109 = 420036*p, p = -2*u - 26 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-3) - 2\/(-6). Let v = 4 + l. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 750.3245mm?\nAnswer: 75.03245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 809*l**3 - 1575*l**3 - 831*l**3 - 2580*l**3 - l**2 - l**2.\nAnswer: -4177*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/(7\/(-14))*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 298991021\/45 - 6644996. Let o = c - -751. Sort -5, o, 0.1, -3\/8 in ascending order.\nAnswer: -5, -3\/8, o, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*a = 6*g - 52, 2*a = g - 14. Calculate the remainder when g is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 - -1250?\nAnswer: 1237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i. Let n(q) = -3*q + 6. Let o(l) = -4*m(l) - n(l). What is the smallest common multiple of 1 and o(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 332537, 332568, 332599, 332630?\nAnswer: 332661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 175, 349, 523, 697, 871?\nAnswer: 1045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -379200 = -300*t + 252*t. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 81 = 27. Is 6 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/6*(-2)\/21. Sort k, -1\/9, -6 in decreasing order.\nAnswer: k, -1\/9, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000214727402 rounded to seven decimal places?\nAnswer: -0.0002147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20460 - -37597. Let k = b + -308605\/18. Calculate the common denominator of -71\/66 and k.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/22 and 35\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a day in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1307592, -1307607, -1307622?\nAnswer: -1307637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 6*w - 44. Let v be a(8). Solve v*t = -5 - 11 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -5 (c) 0.03 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (4 - -6)) + 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppp. What is prob of sequence pppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n + 40*n - 38*n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 + 68. Let q(u) = -85 - 2*u + 4*u**2 - u**3 + 39 + n. Determine q(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 43*v - 1. Let x(r) = 92*r - 34. Determine -2*q(u) + x(u).\nAnswer: 6*u - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 - 41. What is the nearest to 0 in z, 0.6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/82 and 1\/8?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/30*(-9)\/(-84)*-28.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4287 - -16821. What are the prime factors of g?\nAnswer: 2, 3, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c - 27. What is y(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 2184392?\nAnswer: -5\/1092196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 1026?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + c = -15, -10*c + 9*c = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2119\/185 - -76\/37. Let t = 85163 - 2980366\/35. Let m = t + x. Sort 0, -0.4, m.\nAnswer: -0.4, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 8:54 PM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h - 1. Let g(m) = -6*m - 6. Suppose -18 = -3*d - 0*d. Let o = -9 + d. Let x be 4 + (3 - (o + 7)). Determine x*g(b) - 16*j(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 19*m**3 - 3*m**2 - 3*m + 3. Let z(b) = 56*b**3 - 8*b**2 - 8*b + 8. Suppose -2*s - 4*y = 2, 85*y - 89*y = -2*s - 10. Calculate s*z(p) + 8*v(p).\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 4. Let p be m(-5). Let n = -3532\/19 - -186. Which is bigger: n or p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 1, 2 = i - 537*r + 542*r for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1477?\nAnswer: 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25420?\nAnswer: 2, 5, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 896 is divided by 296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 9*m + 20. Let r be w(-13). Let t = r + 34. What is the units digit of 42 - t\/(3 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 14. Suppose 2*k = -23 - f. Let n be 44\/10 - 9\/k. Solve -n*u + 4 = -11 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 192062268 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.1285*-3\nAnswer: -0.3855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**3\/6 - 861331*q**2\/6 + q\/6 + 861331\/6 = 0.\nAnswer: -861331, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 2:46 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13206558 and 849927?\nAnswer: 171685254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**4 + 2*f**2 + 57*f + 2*f**3 - 31*f - 24*f + 6*f - 6*f + 3*f**4 + (3*f - 2*f + 2*f)*(-2*f**3 + 4*f**3 - f**3).\nAnswer: 8*f**4 + 2*f**3 + 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -1 - -9 - -1) + -1 - -26.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 714644328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/10 and -9\/11026.\nAnswer: 55130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 52711955 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 2*b - 2. Suppose 7*t + 3 = 4*t. Let y(a) = -a - 1. Determine t*v(h) + 2*y(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(228)*3)\/(sqrt(132)\/((sqrt(55) - (sqrt(55) - (sqrt(55) + (sqrt(55) - sqrt(5500)))))\/sqrt(5))).\nAnswer: -144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 2:06 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26.4 in -46, 5, 887, 1\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001001000111101 + 11?\nAnswer: 111001001001000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*z - 13. Suppose -z*y + 2114 = 2*k, -k = 3*y + 192 - 1251. What is the hundreds digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184666278 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4115*3.8672\nAnswer: -15913.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4900118266?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -9*i**2 - 2. Let m(n) = -13*n**2 - 3. Let l(x) = 7*a(x) - 5*m(x). Give l(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2110 + 4556. What is the remainder when u is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -18305532.\nAnswer: -5\/18305532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3 - 5*a**2 + 25*a - 15.\nAnswer: -5*(a - 1)**2*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**2 - 11 - 95*q**3 + 230*q**3 - 4*q**2 + 2 - 143*q**3 - 2*q. Determine k(-3).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 77 = 3*w, 4*w + 152 = 7*u - 3*u. Let l = 61 - u. What is the greatest common divisor of 3 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3356 - -0.33555987. What is h rounded to 6 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 20*k**3 + 6*k**3 - k**3 + 2*k**2. Let i(g) = 2*g - 7. What is the remainder when w(1) is divided by i(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 4:07 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 75752 or 76678?\nAnswer: 76678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-1 + sqrt(147) - sqrt(18)\/(sqrt(12)\/sqrt(2)))**2 - sqrt(36)\/(sqrt(36)\/sqrt(3) + sqrt(12) - sqrt(12))*-1).\nAnswer: -327 + 33*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**3 + 5*u - 6*u**3 + 2*u**2 + u**3 + 3*u**3 to the form c*u + b*u**3 + z*u**2 + i and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -10249227?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54400563.\nAnswer: 3, 7, 41, 21061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 j when two letters picked without replacement from {j: 4, o: 8, b: 3, a: 2}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -1 (b) 0.3 (c) -0.17 (d) -191\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8089061.7 rounded to the nearest one thousand?\nAnswer: -8089000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 12152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2684?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58368 is divided by 54?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1100\/600*(7\/1 - 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 2:14 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/9*45\/75?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 960.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -9*u - 2. Let f(b) = -b. What is f(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 0. Let r(b) = 4*b - 1. Let u be r(-1). Sort q, u, 6 in descending order.\nAnswer: 6, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 7*x**2 - x - 4. Let m be z(-7). Let o(q) be the second derivative of -q**2 + 5\/12*q**4 + q + 0 + 1\/2*q**m. Factor o(i).\nAnswer: (i + 1)*(5*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -741, -2974, -6701, -11916, -18613, -26786, -36429?\nAnswer: -47536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2450068 is divided by 1886?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 684 = -683. Which is smaller: h or 5\/362?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 103002?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of 0*g - 5\/6*g**3 + 14*g**2 + 1\/6*g**4 + 0. What is the first derivative of m(c) wrt c?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -52*f + 13. Let n = -118 + 114. Is v(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 4*c + 16, -2*p = p + 2*c + 8. Suppose p = 6*h + 48 - 912. Suppose 69 + h = 3*t. Is t a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/12 and 3\/2510?\nAnswer: 15060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 1244484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 202.33514 rounded to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7688026 to the power of 1\/2, to the nearest integer?\nAnswer: 2773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/(s\/(s\/s**(-7))))*s*s**(3\/5) assuming s is positive.\nAnswer: s**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*y = 2*y, -3*i - 5*y + 40 = 0. Solve 0 - i = -5*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39*t**2 + 63*t**2 + 40*t**2 - 60*t - 1 + 69*t wrt t?\nAnswer: 284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28832341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 21*z**2 + 6954*z + 990. Determine q(-331).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65 + -61. Let f(q) = -q + 0*q - 11*q - l*q. Let o(c) = c - 1. Let b(g) = 7*g - 6. Let x(r) = b(r) - 6*o(r). Determine x(f(m)).\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 4*o - 12 = 2*o, -5 = 5*q - o + 21 - 34 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) 2\/55 (c) 21\/709\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -267*b - 5. Let c(n) be the second derivative of -n**4\/3 + 26*n - 2. Calculate c(t(u)).\nAnswer: -285156*u**2 - 10680*u - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24.3 - 24. Let z = 279\/14 + -7101\/350. Let i = z - 39\/100. Put 1\/2, i, g in ascending order.\nAnswer: i, g, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (16 - 7 - 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53023, 106123, 159223, 212323, 265423?\nAnswer: 318523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -8) + (6 - (0 + 0)) + -16?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1685302699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -123*b**2 + 4*b - 28 wrt b.\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -18, -35, -40, -27, 10?\n\"Answer: z**3 - 24*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1108 + 2607. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132917, 132920, 132925, 132932?\nAnswer: 132941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -4*m - 76, 2*p + 4*m + 40 = 4*p. Solve -5*q = -q - p for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28\/294)\/(6\/(-14))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*u**4 + 3*u - 32*u**4 + u**2 + 0*u**2)*(4 - 3*u - 4).\nAnswer: 15*u**5 - 3*u**3 - 9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 j, and 1 f when three letters picked without replacement from {b: 2, k: 1, n: 3, f: 1, u: 2, j: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/12)\/((-2)\/(-153)). Suppose -6*s + 198 = -l. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.04 in 1\/12, -0.3, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3941100481.\nAnswer: 3637, 1083613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/8626 and 77\/1362.\nAnswer: 25878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 + 7015374*i - 49107471.\nAnswer: -3*(i - 2338451)*(i - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 204*a**2 + 3*a - 5. Let h(i) = i - 1. Let p(d) = 2*h(d) - x(d). Let g be p(7). Round g to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -4*h + 39. Let o be (-5)\/h - (-5)\/12. Let y = -170 + 170. Does y = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5063?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 120222100022201 (base 3) to base 15\nAnswer: b2a914","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 11*j**2 - 5*j - 11. Let b(p) = 5*p**2 - 2*p - 5. Suppose -2*q = 4 + 2. Calculate q*f(l) + 7*b(l).\nAnswer: 2*l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -251 (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1256*q**2 - 21715*q**2 + 4054*q**2.\nAnswer: -18917*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -489*f + 484*f + 5*u + 30, -3*u = 4*f + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89779?\nAnswer: 89779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.6 + 6.6. Sort s, -8, -4.2, -3 in descending order.\nAnswer: s, -3, -4.2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4*m - 0*u + 12, 3*m = -u + 9. Suppose 0*f - 69 = m*f. Let l = f - -26. Solve 5*d - l*r + 19 = 0, 0 = 3*d + 3*r - 2*r + 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1222 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33*9\/162 - 4\/3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2 = -0. Suppose 0 = 4*h + 2*u + 674, a*h + 2*u + 318 = -16. What is h rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*c + 3*c - 8*c + 9)*(-1 - 7 + 4)*(-3*c + 4*c + 2*c).\nAnswer: -24*c**2 - 108*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -20, -49, -92, -143, -196, -245, -284?\n\"Answer: t**3 - 13*t**2 + 3*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k + 20, -2*s - 2*k - 5*k + 2*k + 29 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5641, -5063, -4653, -4495, -4673, -5271?\n\"Answer: -14*c**3 + 676*c - 6303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + -2 + -1)\/1. Suppose r = 2*m - l + 4*l - 46, 2*l - 44 = -2*m. Calculate the remainder when 38 is divided by m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3446 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -140621 - -140600.3549. What is c rounded to one decimal place?\nAnswer: -20.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*k + 24 = -0, -4*k = -3*w. Suppose -3*q + c + w + 20 = 0, 3*c + 32 = 4*q. Solve d = -d + q for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + f - 9. Let m be 44\/3 + (-1)\/f. Let z(t) = t**2 + 14. Let l be z(11). Calculate the greatest common divisor of l and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b476 (base 13) in base 14?\nAnswer: -9136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 257? (a) -3 (b) -44 (c) -4 (d) -43 (e) 2 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -413, -758, -1329, -2126, -3149?\n\"Answer: -113*m**2 - 6*m - 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 7) to base 16\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -7*n + 38. Let s = 45423 - 45413. Give u(s).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*m + m + m)*(-m - 5*m + 0*m) - 4*m**2 + 6*m**2 - 3*m**2)*(0 + 2 - 4).\nAnswer: 26*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/3457634 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12597868?\nAnswer: 2, 3149467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.003 (b) 0.1 (c) -66 (d) 38 (e) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 4*p + 5. Let c be n(3). What is the units digit of 4*(c\/2)\/(4\/36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 418*h - 417*h = 781. Let z = 1278 - h. List the prime factors of z.\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46 + 30. Let b = 18 + o. What is the biggest value in 2\/7, b, -0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 3*q**3\/4 + 180*q**2 + 711*q\/4 - 717\/2 = 0.\nAnswer: -239, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -14245 != -6684?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 4*q**2 + 22*q - 2. Let t = -93 + 100. Let v be j(t). Suppose v*z - 1328 = a, -4*z - 4*a + 1036 = -12. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 8. Put 0, 4, s in decreasing order.\nAnswer: 4, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) 0.013 (b) -4 (c) 2\/5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (16 - (13 - 5)) + 0\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 913 + 6108*a**2 + 6098*a**2 - 11419*a**2 wrt a.\nAnswer: 1574*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -239 times -669\nAnswer: 159891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13947 + -13902. Solve 0 = 4*t + l*t - 245 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10b5 (base 12) in base 2?\nAnswer: -11101001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u + u + 4*u)*(6 - 33 - 11) to the form z*u + j and give z.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y + 12. Let s be c(-9). Factor -i**3 + 0*i**3 + 44 - 3*i**s + 48*i**2 - 192*i + 212.\nAnswer: -4*(i - 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of b**6\/300 + 7*b**5\/75 - 39*b**2. Find u such that x(u) = 0.\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -262*w + 3511. What is b(17)?\nAnswer: -943","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*b**3 - 5*b**3 + 31 + 11*b**3 - b to the form j + w*b + f*b**2 + p*b**3 and give j.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -z**5\/120 + z**4\/2 - z**3\/6 - 4*z**2. Let r(x) be the first derivative of c(x). Let y be r(6). Is y equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 2*x + 3*x)*(-9*x + 2*x - 5*x)*(-203 + 102 - 57*x + 101).\nAnswer: 1368*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -13*o**8\/336 + 7*o**5\/20 - 12*o**2. What is the third derivative of i(t) wrt t?\nAnswer: -780*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -143158 divided by -2?\nAnswer: 71579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.6 - -4.7. Let n(d) = d**2 + 5*d + 7. Let q be n(-2). Let o = 5 + -5.5. Which is the smallest value? (a) q (b) o (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 (base 9) in base 16?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > 54825777?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -f**4\/12 - f**3\/6 - 3*f**2\/2 - 5*f. Let w be y(0). Let q be -2 - (-1 + 0\/(-1)). Put w, 3, q in descending order.\nAnswer: 3, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.969294 nanometers to micrometers.\nAnswer: 0.000969294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n. Let p = -29 - -135. Suppose j - p + 95 = 0. Let f(z) = 0*z**2 - j*z**2 + 7*z**2. Calculate f(c(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + (-885)\/12 + (-1)\/4. Let h = 116 + c. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*j + 8. Let o(q) = -2*q**3 - 42*q**2 - 36*q + 81. Let s be o(-20). What is the tens digit of (-1 + 17\/j)*(17 + s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44797.266ns in days?\nAnswer: 0.000000000518486875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3632894094 to the power of 1\/2, to the nearest integer?\nAnswer: 60273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n. Let t = -42991\/12 + 3583. Let i(p) be the second derivative of 0*p**3 - 6*p + 0*p**2 + t*p**4 + 0. What is i(h(w))?\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 4:05 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*h**2 + 25*h - 17*h + 36*h - 427*h**2.\nAnswer: -321*h**2 + 44*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 + 0 - n)*(284 - 74 - 120)*(0 - 1 - 1) - n + 5*n - 3*n + 0*n + 3*n - 5*n + n - 3*n + 4*n + (3 - 4 - 1)*(3 - n - 3))*(-4*n + 0*n + 3*n).\nAnswer: -183*n**2 + 360*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 1)\/((46 - -4)\/10 + -4). Let s(k) = k - 2. Let g be s(4). Suppose -y - g*y + 30 = 0. Solve w = 5*c - y, x - 13 = -c - 3*c for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 19*v - 179. Is o(13) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**4 - 4*d**4 + 2 - 7)*(-3 + 10 - 47).\nAnswer: 40*d**4 + 200","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1284352038 and -0.5?\nAnswer: 1284352038.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*g**3 + 10*g + 5210 - 5210 - 6*g + 0*g**3 - g.\nAnswer: 28*g**3 + 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 b when three letters picked without replacement from ibqqqii.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -155*z**2 - 2 + 763*z**3 + 153*z**2 + 2 to the form f + p*z + x*z**2 + s*z**3 and give s.\nAnswer: 763","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 573*i - 575*i + 11333 = -l, l = -i + 5668. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -107\/211748 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 5*s**2 + 5*s + 3. Let h be 126\/(-54) + (0 - (-2)\/(-3)). Let o be 2 - ((h - -5) + -67). Let u = 73 - o. Determine i(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vw when two letters picked without replacement from {v: 10, w: 6, m: 2}.\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 111, 36, 40, -5 in descending order.\nAnswer: 111, 40, 36, 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -38 - (-1 + 4 + (-17 - -11)) - -1\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 35526?\nAnswer: 35529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 56\/(-7)*(0 - 501\/12). Suppose f = 3*y + 109. What is the remainder when y is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(147) + 2*sqrt(147)*-3 - (sqrt(147) - sqrt(147)*3)*-1)*-1)**2.\nAnswer: 115248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*l - 8*l - 2*l + 15*l in the form h + x*l and give x.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(sqrt(54)\/sqrt(6)) - (3 + (sqrt(13)*1)**2) - (1 + (3*-1*sqrt(208))**2).\nAnswer: -1889 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 22 = -4*d, 5*d - d + 17 = f. Let r = f + -2. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 16, 2*j + 2*j - 92 = -y. Calculate the smallest common multiple of j and 242.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1866000 rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2977488 divided by 48\nAnswer: 62031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*j = -280, 24*y - 21*y + 2*j = 742. Calculate the highest common divisor of y and 6972.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (32 - 36) + (-41 + 2 - (0 - -5))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b**3 + 3 + 9*b**3 - 3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373 is divided by 127?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -r - 3*r + 11*r**2 + 5*r - r + 1 + 6*r in the form v*r**2 + n*r + l and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 11002121000 (base 3) to base 2\nAnswer: 10011101011101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122826600.\nAnswer: 2, 3, 5, 13, 29, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1442.998133 rounded to the nearest integer?\nAnswer: 1443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 l when two letters picked without replacement from ljjldfdllldlfdg?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -7*l**2 + 6*l + 9. Calculate q(-2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 4*d**2 + d + 3. Let u be f(-4). Let y(n) be the first derivative of 82*n**3\/3 - n**2 - n + 20. Is y(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 0*h = 5*h + 20, -g - 21 = 4*h for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + -0.6. Let j = 2515\/4 + -621. Let x = j - 333\/44. Which is the second biggest value? (a) 3 (b) x (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 5:56 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3888, -3889, -3890, -3891?\nAnswer: -3892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*l**4 + 2054*l - 2054*l - 10 with respect to l.\nAnswer: 108*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 3) to base 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3540 and 4116740?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iai when three letters picked without replacement from {a: 1, k: 1, i: 2, j: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*i*q*x**3 - 17*i*q*x - 38*i*x - 6*i + 3*x**3 with respect to q.\nAnswer: -19*i*x**3 - 17*i*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - 23. Suppose t = -2*a, -a - 32 = 2*l - 6*l. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, q: 3, o: 1}. What is prob of sequence fo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, m: 1, a: 3, x: 9, w: 2, f: 3}. Give prob of sequence fwma.\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3157, 12587, 28301, 50299?\nAnswer: 78581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 + -38. Let a be 39\/(-6) + h + (-2)\/(-4). Is (-3502)\/a - (-1)\/((-9)\/6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, -365810\/161, 3\/7?\nAnswer: -365810\/161","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 25 = 0, s + 4*z + 29 = 4*s. Suppose s*y = -0*y + 36. Let g be (2\/y)\/((-1)\/(-4)). Which is the nearest to g? (a) 2 (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -13 from -4659009.\nAnswer: -4658996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 87 + 122 = 0 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 33, 2, -3.1, -2\/11, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18643608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 13*a + 14. Determine y(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f + 144*f**2 + 4*f + 8 + 5*f**3 - 4*f - 135*f**2 - 3 in the form d*f**3 + x + y*f + q*f**2 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(350) + 2*sqrt(350))*-5)\/(sqrt(7) - (sqrt(7) - sqrt(70)\/sqrt(160))))\/(6*(sqrt(640) + ((sqrt(640) + sqrt(640)*2)*3 - sqrt(640)))).\nAnswer: -5*sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 856749770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 4. Suppose 0 = -0*c - 5*c - 4*k, 0 = 4*c - 5*k - 41. Let x be m(c). Suppose p = 3 + 2. Calculate the greatest common factor of p and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from epeppppppppppep. Give prob of sequence epe.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(342)\/(-2*sqrt(6)))\/(sqrt(3) + (sqrt(9)*-1)\/sqrt(3) - sqrt(3)) - (((sqrt(171)*-2*5)\/sqrt(9))**2 + -1).\nAnswer: -1899 + sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**2 + 7*d + 7. What is the remainder when f(-5) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + -22 + 3 + -5. Let t = l - -93. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**4 + 4*t**4 - 3*t**4)*(-32 - 158 - 6 - 95).\nAnswer: -582*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3878?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjcjfjgjjjg. Give prob of sequence gj.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*p, 12*v + 2*p + 16 = 16*v. Solve -3*l - 2 = -v for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vbvvvvvbbb. Give prob of picking 4 v.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 338346.9999862049 + -338347. Round d to seven decimal places.\nAnswer: -0.0000138","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 3*f - 10, 3*f + 6 = -58*b + 64*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 0.118\nAnswer: -0.118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 49994651 and 84.\nAnswer: 599935812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20506425*k**3 + 198704084 wrt k?\nAnswer: 61519275*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -5 + 122570\/6 + 158\/237?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + (-53 + 29 - -27)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 55*k - 150. Let b be p(-52). Solve 7*l - b*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-13 + 3) - (174 + -148)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1457280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 6) to base 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/sqrt(4)*-6 - (sqrt(2) + sqrt(32)*2 + sqrt(32) - sqrt(2)))**2 + (sqrt(20) - (sqrt(20) - -2*(sqrt(20) + sqrt(80)\/sqrt(4))))\/sqrt(10).\nAnswer: -4*sqrt(2) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -265 + 263. Calculate the remainder when 6034\/56 + -1 - k\/8 is divided by 40.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000126461017 to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 163\/326 + (-209)\/88.\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-11 - -30) + -31\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.032565 less than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50780 is divided by 4978.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*a - 258 = 0. Calculate the common denominator of -2 + (a\/8 - -1) and ((-8)\/144)\/(2\/34).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t**2 - 21*t - 3. Let i be d(-7). Let n(c) = 5*c**2. Let w be n(1). Let s = w + i. Solve -s*k = 2*l + k + 6, 15 = -5*l + 5*k for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8695184 to the nearest integer?\nAnswer: 2949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 42*d - 1931. Let j be x(46). Put -1, -6, j, 3, -5 in increasing order.\nAnswer: -6, -5, -1, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 h when two letters picked without replacement from {x: 1, o: 1, y: 2, h: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z**3 - 39*z**2 - 6*z + 67. Calculate y(11).\nAnswer: 606","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -12*h - 431. Give s(-37).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 105 - 52. Let u = f - 43. Suppose -5*h = -10 - u. Solve -22 = h*j + j + o, 24 = -3*j + 3*o for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6446, -10226, -14008, -17792?\nAnswer: -21578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 31, 42, 61, 88, 123?\n\"Answer: 4*q**2 - q + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 6904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1716163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1890159022 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**2 + 4*c + 8. Let h(u) = 6*u - 35. Let m be h(5). Does 19 divide j(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.667 and -142680?\nAnswer: 95167.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/26)\/(3 - -2 - 6))\/(27\/162)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20666301?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*v + 3*s, 2*v - 70 = s - 61. Determine q, given that 0 + 0*q + 1\/2*q**v + 1\/2*q**2 + 3\/2*q**4 + 3\/2*q**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*2\/20)\/((-3)\/(-75))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 386 divide 7060594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.6079743 centimeters?\nAnswer: 0.000006079743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -35*q - 2. Let c(n) = -11*n. Calculate c(h(l)).\nAnswer: 385*l + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 780 - 53 = 50*i + 520 for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**4 + 2*c**3 - c - 1. Let w(r) = -209*r**4 - 8*r**3 + 408*r**2 + 4*r + 4. Let y(l) = 4*u(l) + w(l). Find the third derivative of y(g) wrt g.\nAnswer: -4920*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 2.8, 1\/4 in descending order.\nAnswer: 2.8, 1\/3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 654482 and 458?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 379 - 367. Let g be (5*20\/(-750))\/((-2)\/x). Factor 0*n**4 + 0*n**2 - g*n**5 + 0*n**3 + 0*n + 0.\nAnswer: -4*n**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 487 * 0.3.\nAnswer: 146.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 + (-1)\/(16\/88). Let 0 + 3\/2*r**2 - 3\/2*r**3 - 3\/2*r**4 + q*r = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1 - g)*(9376 - 3*g - 9564 + 2*g).\nAnswer: g**2 + 186*g - 376","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f**2 - 5*f + 9. Let h(m) = 16*m**2 - 24*m + 46. Let n(o) = 2*h(o) - 11*t(o). Let p be n(7). Let v(b) = -b**2 - 10*b + 3. Is 14 a factor of v(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q**2 + q. Let o be b(-1). Let d(c) = -2*c + 9 + 3*c - o*c. Let n be d(4). Solve -3*f - 2 = -w + n, -2*w = -2*f - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2)\/(-40))\/((-4)\/(-170)) and 740\/96 - (-5 - -10)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + n + 56 = 0. Sort n, -3, 1 in decreasing order.\nAnswer: n, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -146 + 246. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3841841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2 + -4 + (5*(-2*(sqrt(448) + 1*sqrt(448)) + 6*(0 + sqrt(448)))*-2)**2.\nAnswer: 179201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of 5*u**3\/2 - 4*u**2 + 3*u - 11. Find the first derivative of v(m) wrt m.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351 = -35*j + 384 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*b = -81*b + 187*b + 952 for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -14715?\nAnswer: 14714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47 + 86. Let y be (13\/w)\/(2\/(-6)). Put 1, y, -24, -5 in decreasing order.\nAnswer: 1, y, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (13 + -3 - 4) + 9 + -7. Suppose -16 = -6*x + v. What is the closest to 0.1 in 0.1, -0.14, 1\/6, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0061 + 30.4061. Let p = 30.1 - q. What is the biggest value in p, -77, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, 9, -2, 0.1, 4\/65?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 32*n**2 + 92*n + 544. Is l(-37) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, h: 1, e: 1, u: 3, q: 2, s: 2}. Give prob of picking 2 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y - 2 + 2 + 0*y - 11. Is v(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17 - 6 - -11) + -1 - (-62 - -106)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*8 + -4 + 7. Solve 5*k - 4*b = -9, 0*k + k - 4*b = l for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -2868?\nAnswer: -2868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u + 22. Let o be a(0). Is 9 a factor of 2*5\/20*o*15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -10. Suppose -1 = n*z + 11. What is the second biggest value in -5, 2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1352408 (base 9) to base 7.\nAnswer: -6213500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 391 divided by -1.\nAnswer: -391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/31))**19*(k**(1\/10))**33 assuming k is positive.\nAnswer: k**(1403\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13874960 to the power of 1\/2, to the nearest integer?\nAnswer: 3725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3*r**5 - 6*r**4 + 54*r**3 - 96*r**2 + 69*r - 18 = 0?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1077237 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 491204506 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r = 28*r - 120. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 plus -167677.71?\nAnswer: -167433.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35079.\nAnswer: 3, 11, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/3)\/((-2)\/(-6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3. Let h(u) = 26*u + 390. What is 3*h(b) - 390*l(b)?\nAnswer: 78*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/3 (b) 169817 (c) -4 (d) -0.04 (e) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -155 - -161. What is the second derivative of -2 + 0 - 1433*g**3 - 1 + 1520*g**3 - o*g wrt g?\nAnswer: 522*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 140904387 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/46531152 and -38\/3.\nAnswer: 46531152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 807 - 787 - (-3 + (0 - 3)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 560 - 560. Let f = -9\/2 + 5. What is the smallest value in 3\/2, f, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 7:34 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 32 + -15 + (4 - 6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/5535 and -80\/4435317.\nAnswer: 909239985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/2)\/(2\/12). Let f be 143830\/25 + (-2)\/10 + -3. Suppose k*u - f = -2*u + q, -5*q = -25. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 71 = -99. Sort n, 3, -50, 0 in decreasing order.\nAnswer: 3, 0, n, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 8*c**3 - 3*c**2 + c - 3. Let j(s) = -s**3 + s**2 + 1. Suppose -120*p = n - 125*p + 8, -2*n = 4*p + 2. Give n*j(d) - h(d).\nAnswer: -5*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165 - 20838*u + 20838*u + u**2.\nAnswer: u**2 - 165","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 23 = -4*g, -4*k = 4*g - 5 + 1. Suppose -5*y - 26 = l, y + k*y = -l - 25. Let i = l - -40. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 8*a**2 + 568*a + 2395. Give d(22).\nAnswer: 371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/207593 (b) -1 (c) -137.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or 607674?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005180382 rounded to 6 dps?\nAnswer: 0.000518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 288771299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 + 155. What is the second derivative of q**4 + n*q - 46*q - 44*q - 42*q wrt q?\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2 - 181*v - 65653. Let b be k(232). Let -22\/7*m**4 - 156\/7*m**2 + 16\/7 + 8*m + 106\/7*m**b = 0. Calculate m.\nAnswer: -2\/11, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p = 114 - 49. Suppose -591 = -2*v - p*y, -2*y = 3*v - 4*y - 858. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 422*g - 4514. Determine v(-11).\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 30 = o. Calculate the greatest common divisor of 126 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 100 + -59. Let h = b + 20. Does 22 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 - 18. Which is the nearest to 1\/3? (a) w (b) -1\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 351620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*h*o**5 - 14*h*o**2 - h*o - 4*h - 12 wrt o?\nAnswer: 140*h*o**3 - 28*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2.1*2.4\nAnswer: 5.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 0.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 2 + 2)*(5*x**3 - 4*x**3 + x**3) + x**3 + 507 - 2*x**4 - 9*x**4 - 505.\nAnswer: -9*x**4 + x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 3 - 3)*(333 - 103*h - 333).\nAnswer: 103*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*b**4 + 343*b**3 - 432877*b**2?\nAnswer: 168*b + 2058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, -3, 10, 5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8373041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -6*u + 44 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 10:04 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1)**(-7)*(c**1*c)**(-24\/11) assuming c is positive.\nAnswer: c**(-125\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -0*m - 15. Let b(d) = -d**2 + d - 1. Let o(q) = 4*q**2 + q - 12. Let v(f) = -3*b(f) - o(f). Let u be v(0). Is u bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 3\/4 (c) 3 (d) 20\/3 (e) -32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 870184 = 5*o, -53*o + 2*k = -49*o - 696146. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -96770 by 1671.\nAnswer: -96770\/1671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 322*o**4 - o**3 - 1565*o**2.\nAnswer: 7728*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27049\/18 - 1504. Let y = -9091693 + 127232009\/14. Let q = -3686 - y. Find the common denominator of o and q.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/36 and ((-166)\/10)\/(576\/240)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-63)\/15)\/((-110)\/550)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r = 4 + 23 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*q**3 - 9*q**4 - 54*q + 11*q**3 - 6*q**3 wrt q?\nAnswer: -108*q**2 - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22177 = 4*h - 12203. What are the prime factors of h?\nAnswer: 3, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1368 and 608.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -2\/1004643?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -16. Suppose q - 6 = -c, g = -2*q + 4*c - 2*c + 24. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -0.062?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.3 + -6. What is the closest to 1 in x, -0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -5*f**5 - 12*f**4 - 13*f**3 - 3*f**2 + 3*f + 3. Let k(c) = c**4 - c**3 - c**2 + c + 1. Let b(y) = -3*k(y) + t(y). Determine o, given that b(o) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.338 - -199.662. Let j = n - 199.6. Let s = -8.8 - -8. Put s, 1\/8, 0.1, j in decreasing order.\nAnswer: j, 1\/8, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 77 and 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*w + 188*w = -5*o - 388 - 227, 5*w - 2*w + 43 = o for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 + 4903?\nAnswer: 48da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/33 (b) 1 (c) 68 (d) 58 (e) -1.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g - 4*g + 21*g as m + h*g and give h.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**(-1\/2))**(3\/31)*s**(-6)\/(s*((s\/s**(2\/23))\/s)\/s) assuming s is positive.\nAnswer: s**(-8087\/1426)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*d + 151*d + 128*d - 453 - 1941 = 0 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-105)\/(-140))\/(15\/(-2)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 10*t - 9. Let m(w) be the first derivative of 3*w**2\/2 - 3*w - 1. Let z be 38\/(-6) + 172\/(-258). Determine z*m(f) + 2*s(f).\nAnswer: -f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 172532261 to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 621 - 14286\/23. Let f = d + 107\/115. Which is the second biggest value? (a) f (b) 3\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q + 4*q + 4, 4*p - 5*q - 25 = 0. Suppose -3*s = 2*z - 147, 0 = -2*z + p*s - 0*s + 155. Let v = z - 4. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4716*o - 631*o - 457*o - 746*o - 665*o to q*o + n and give q.\nAnswer: -7215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 26964832 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*n + 2*n - 9*n.\nAnswer: 15*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k**(2\/17)\/k))*k)\/(k*k*k\/((k\/k**(-4\/9)*k)\/k)))\/(k*k*k\/((k\/(k*k**(-1)*k))\/k))**(2\/107) assuming k is positive.\nAnswer: k**(-24764\/16371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x\/(x**1*x)*x)*x*x\/((x\/(x**(-3\/8)\/x))\/x)*x*x*x*(x*x*x**(-1)*x*x)**(-18))**(3\/8))**(8\/7) assuming x is positive.\nAnswer: x**(-1161\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/20 and 3\/2254.\nAnswer: 22540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -48, -355, -1188, -2811, -5488, -9483, -15060?\n\"Answer: -44*t**3 + t**2 - 2*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/72517 smaller than -0.11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11235.0055185 + 4?\nAnswer: 11239.0055185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -81 - -190. What are the prime factors of z?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1386311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**5\/60 - 4*x**2. Let r(k) = -3*k + k + 6*k. Calculate r(a(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 344 + -342. Let i(r) = 55*r + 55. List the prime factors of i(t).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/12 + 0\/(-1). Suppose -f + 4*f = -18. Let u be (-12)\/(-20)*15\/f. Which is the second smallest value? (a) -0.5 (b) t (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 865.7411 minutes to microseconds.\nAnswer: 51944466000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-4)*(-72)\/(-27). Let j = 440 - 626. Let h = 188 + j. Solve -5*o + 5 = -h*o - 4*z, -o + 15 = -n*z for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22089 is divided by 7355.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -81 - -95. Let m = 4 + -4. Suppose 0 = y - 8 - m. Calculate the remainder when w is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of s**6\/360 - 3*s**5\/40 - s**4\/24 - 13*s**3\/3 + 31. Let t(z) be the third derivative of q(z). Give t(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141171201.\nAnswer: 3, 193, 27091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6853.489ml?\nAnswer: 6.853489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 12:42 AM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y. Let m(f) = 873*f**2 - 2*f + 1. Give t(m(d)).\nAnswer: -873*d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007937 rounded to 6 dps?\nAnswer: -0.000794","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 13218*z - 394. Let i be n(-67). What is i rounded to the nearest ten thousand?\nAnswer: -890000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 3 + sqrt(425))*-5.\nAnswer: -30*sqrt(17) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73 - 75. Let q = 6 + -2. Sort w, q, -3\/8.\nAnswer: w, -3\/8, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 143*p**3 + p + 120 with respect to p.\nAnswer: 429*p**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 369*v**2 + 315*v + 19539. Let u = -365 + 958. Calculate the remainder when u is divided by o(368).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ni when two letters picked without replacement from noooxiowonxooooo.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3454 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 - 6 + 0)*(-101 + 37*r**3 + 101).\nAnswer: -962*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -62*c**3 + 5*c. Let t(f) = 91*f**3 - 2*f**2 - 8*f. Let m(h) = h**3 + h**2. Let o(u) = 2*m(u) + t(u). Give -5*o(g) - 8*w(g).\nAnswer: 31*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1985*m + 17691 = 83196 for m.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*m + 2*q, 0 = q - 1445 + 1439. Let u(f) = -47*f - 8. Give u(m).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -18, 5 in decreasing order.\nAnswer: 5, 1, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 82 + ((-2)\/(-16) - (-595)\/(-280)). What is the highest common divisor of a and 680?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -3\/56*n**8 + 0*n**3 + 0 + 1\/12*n**4 - 3*n + 0*n**7 + 0*n**6 + 0*n**2 + 0*n**5. What is the third derivative of u(b) wrt b?\nAnswer: -360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 4*c**2 - 4*c. Give t(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 346, 690, 1034, 1378, 1722, 2066?\n\"Answer: 344*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1132 + -1133. Which is smaller: x or 13\/131?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.175637 to 1 decimal place.\nAnswer: -10.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 29*i**2 - 6*i - 4. Is h(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 b, and 1 q when four letters picked without replacement from {b: 2, q: 1, r: 2, j: 3, s: 6}.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 440*n + 536*n + 240 - 508*n with respect to n.\nAnswer: 468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 take away -1623?\nAnswer: 1623.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2868431*t**2 + 3*t + 325354 wrt t?\nAnswer: -5736862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-175)\/60 - -3)*(-186)\/248?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1059853 and -73.\nAnswer: 1059780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2)\/(h*h\/h**(4\/7))*(h\/(h**(-2\/7)\/h)*h)\/((h*h\/(h*h**1)*h)\/h*h)*(h**3\/(h*h**1))**13 assuming h is positive.\nAnswer: h**(83\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - 27 - (-4 + 0 + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p - 2. Let v be i(6). Let c = 1 - 3. Let h = v + c. Let k(s) = s**3 - s**2. What is k(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.05 + -5. Let w = -0.007 + g. Let o = w - 0.433. What is o rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 11) in base 5?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lflnfflnla. Give prob of picking 1 f and 1 a.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v**2 + 3*v + 6. Let m(f) = -2*f**2 + 3*f + 5. Determine -5*m(w) + 4*z(w).\nAnswer: -2*w**2 - 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/(-15))\/((-5 - -6) + -7). What is the nearest to r in -0.2, 2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -55*f + 52*f - 4*w + 18, 3*f = -2*w + 18. Solve 0*z - 5*z + 4*r - f = 0, 4*z = 3*r - 5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (3 + 0 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*a**2 + 322*a**2 - 78*a**2 - 67*a**2 - 95*a**2.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -u**6\/10 - 81*u**5\/20 - 54*u**4 - 270*u**3 + 2215*u. Solve g(a) = 0 for a.\nAnswer: -15, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 366839*r**4 + 9*r - 982*r**5 - 366839*r**4 + 7*r**2 wrt r?\nAnswer: -58920*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q - 6. Let v be p(5). Let j be 1\/((-12)\/(-10) + v). Let r(m) = -m**2 + 3*m + 6. Determine r(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, a: 1}. What is prob of sequence la?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((66\/18)\/11)\/(21\/(-45)).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 48 (c) 0.1 (d) 0.099 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 - 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3710*f**2 - 3712*f**2 + 9 - 13.\nAnswer: -2*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5833624 + -19530.\nAnswer: -5853154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9*-2*(-1)\/(-1)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*o - 3 = -115*o + v, 4*o + 21 = -5*v for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4961 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25969, 26023, 26077, 26131, 26185, 26239?\nAnswer: 26293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*j - 17*j + 12*j = -109*j + 1425 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(99)*-1*3 - (0 + (1 + sqrt(99) - sqrt(99)))**2)*6 + 5)*5.\nAnswer: -270*sqrt(11) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1405 divided by -21\nAnswer: -1405\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6058750 and 40.\nAnswer: 24235000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 2*k = -16. Suppose -3*w + 17 = 53. Let v = k - w. Solve 4*x = v*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 - 33. Let c be 1 - (12\/(-2) + 3). Solve -5*n - 2*m = 2*m + 15, c*n = 4*m + p for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1220000\/(-2*1\/(-5)). Suppose 5*j + 0*j = g. What is j rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 4. Suppose 2*c - 7 = v. Calculate the greatest common divisor of 7 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 8:17 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 3*m - 6*m + (0 - m + 0)*(2 + 1 - 1) + m + 0*m - 6*m)*(-3 + 6 + 2).\nAnswer: -40*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 100 = -2*a, 0*a = 5*c + a - 132. Suppose c = 5*m - 99. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57365 divided by -745?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2588 or -2602?\nAnswer: -2588","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**3 - 24*k**2 - 7*k + 157. Give u(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.034 - -0.034. What is the closest to g in 10, -0.2, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -7*b - 5. Let t(s) = 3*s + 2. Suppose -19*r = -16*r - 15. Give r*t(c) + 2*i(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13.18*0.2.\nAnswer: -2.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8133, -8132, -8131?\nAnswer: -8130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1375883649 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/((f\/(f**(-2\/3)*f*f))\/f)*f)\/f*f)**29\/(f**(-1))**42)**(-9\/4) assuming f is positive.\nAnswer: f**(-312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -163727.43 plus 17883?\nAnswer: -145844.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 8:53 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -8) + (7 - (0 + 0)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329*l = 57*l - 2176 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**3 + 7*j**3 - 3*j**3 + (0*j**2 - 4*j**2 + 0*j**2)*(j + j - j) - 191*j + 6*j**3 + 191*j.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1749.31 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -0.5 (c) 4\/3 (d) -1 (e) 76 (f) 435\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2316*u + 1307*u - 44361 = -2440*u for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02169619505 rounded to three dps?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 131960260 to the nearest 100000.\nAnswer: 132000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 r when two letters picked without replacement from szsrsrzsszzr.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72 - 53243\/740)\/(25*3\/(-12)).\nAnswer: -1\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**3\/17 + 18*w**2\/17 + 54*w\/17 + 54\/17 = 0. What is w?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - p - 3 = 0, 22*w = 25*w + p + 11 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaaaayaaaaaaaa. What is prob of sequence aaaa?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -o**4\/4 + 10*o**3\/3 + o**2\/2 + 7*o - 8. Let n be g(10). Suppose 0 = 3*b + n - 197. Is 15 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25547 is divided by 1463.\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(1*-2)\/(-24 - -32).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 4\/107 (c) 1\/5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*(sqrt(242) - (1 + sqrt(242))) + 3)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12092, 12096, 12104, 12116, 12132, 12152, 12176?\nAnswer: 12204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -6. Let l be 24 + 8 + 0 + v. Suppose -l = -5*m + 42. Solve -4*c + w - m = 0, 2*w = -5*c + 6 - 28 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3000981.\nAnswer: 3, 701, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 559b1?\nAnswer: 559aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, 4, 5 in increasing order.\nAnswer: -7, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = j - 3, 5*j + 3*w = 8*w - 15. Let f be -2 - j - (-2)\/2. Determine o so that o - 4 + o**2 + f = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cww when three letters picked without replacement from {c: 1, z: 1, w: 3, l: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 9*d**2 + 7*d**2 - 17*d**2. Let r(p) = p**2 - 3*p**2 + 0*p**2. Calculate r(g(n)).\nAnswer: -2*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 463149.2279 and -11153.\nAnswer: 451996.2279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -5 + 4 + i**3 - 7*i + 1 - 7*i**2. Calculate the least common multiple of 5 and m(8).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 34 + 32)*(-o + 2*o - 2*o)*(3 - 4 - 1) + 1 - 1 - 3*o.\nAnswer: 51*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 293.3854mm to meters.\nAnswer: 0.2933854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -252135350 (base 6) to base 14.\nAnswer: -908dd8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - p + 9, 12*z + 2*p - 3 = 7*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -753154, -753156, -753160, -753166, -753174?\nAnswer: -753184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 - 34.2. Which is the closest to q? (a) 0.01 (b) 0.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 348, 314, 256, 174, 68, -62?\n\"Answer: -12*a**2 + 2*a + 358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**4 - a**4 + 0*a**4 + (-3*a**2 + a**2 + 0*a**2)*(0*a + 0*a - 2*a**2).\nAnswer: 5*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w**5\/5 + 146*w**4\/5 - 1164*w**3\/5 + 176*w**2\/5 + 4388*w\/5 + 582 = 0.\nAnswer: -97\/4, -1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22553 - 22554. What is the nearest to -2\/7 in d, -1\/4, 63, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one eighteenth of a day in minutes?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0*u - 5*s + 20 = 0, 4*u - s = 18. Suppose u*n + 11 = 21. Solve 0 = 2*w + a, w = -2*a - n*a for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 7:58 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -7*v + 10*v. Solve v*g + 15 = -g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -90796*p**4 + 192032*p**2 wrt p?\nAnswer: -2179104*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-1*-2*(-2)\/(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -6*w**2 - 6*w + 5. Let x(o) = -o**2 - o + 1. Let k(m) = -u(m) + 5*x(m). Let z be k(-2). Solve -1 = z*l - 3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/4*16\/(-18). Let s = -33.53 - -34. Let w = s - 0.07. What is the nearest to -0.1 in 3, x, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 383016186?\nAnswer: 2, 3, 7, 3039811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 9:05 PM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*h + 25*h + 53*h + 122*h)*(-10*h**3 + 15 - 15).\nAnswer: -1630*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 - 5)*-17*1. Let p(m) be the first derivative of -m**4\/4 - 17*m**3\/3 - 5*m**2\/2 - 16*m + 1. What is the units digit of p(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.04 + -8.76. Let w = -10 - p. Let h = -3 + -2. What is the third biggest value in -1, w, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 42*d**2 - 218*d + 40 = 0.\nAnswer: 4\/21, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 474 and 624.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 + 55 + 82 - 249 - 6*z + 80.\nAnswer: -6*z + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71 - 68. Suppose q + 21 = 5*n - 3*h, 4*h = -n - 9. Put -19, n, -3 in descending order.\nAnswer: n, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9085 and 4255?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4\/5 (b) -0.5 (c) -1 (d) 9 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/13 (b) 3\/10 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 - 12 = -4*i + 54*g - 100*g + 37*g, 0 = -4*i + 5*g - 55 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 78980 to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 140\/30*1*6\/4. Let i be (0 + -1 + 36\/28)*n. Find the second derivative of -h**4 - 39*h - 5171*h**2 + 5171*h**i wrt h.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5*n + 4*g - 10, 0 = 3*n + 5*g + 28. Let l be (2\/(-3))\/((-5)\/75). Is 4\/n*(-45)\/l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**2. Let x(o) be the second derivative of o**5\/20 - 5*o**4\/12 + 2*o**2 + 42*o. Let n(l) = -1. Let t(a) = -5*n(a) - x(a). Give 5*b(q) + 2*t(q).\nAnswer: -2*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12723 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -37803*y**4\/4 - 510351*y**3\/2 - 2296674*y**2 - 13781745*y\/2 - 15309\/4.\nAnswer: -3*(y + 9)**3*(12601*y + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2\/5 + 41056496*h\/5 - 123169524\/5.\nAnswer: 4*(h - 3)*(h + 10264127)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1638 divided by 3?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1397329 (base 10) to base 5\nAnswer: 324203304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**30*y*y)\/(y\/y**(-1\/9)) assuming y is positive.\nAnswer: y**(296\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -0.97, -1 in ascending order.\nAnswer: -14, -1, -0.97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -120611.4 rounded to the nearest 100?\nAnswer: -120600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12252*s**3 - 318*s**2 + 43257422*s wrt s?\nAnswer: 73512*s - 636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 4*d**2 + 5*d + 6. Suppose 0 = -4*p + 5*p - 7. What is the lowest common multiple of n(-5) and p?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*a - 4*a - a)*(-16*a**2 + 7*a**2 + 7*a**2 - 22*a**3 + 5*a**2).\nAnswer: -154*a**4 + 21*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -129 - 4?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 664 and 249?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2433519 + 8a?\nAnswer: -243343a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (1 + -2)) + 37 + -6\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m - 3*c + 27, -169*c + 332*c = -2*m + 166*c - 18 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 16215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -175 + 180. Suppose 30 = l*r + r. Let i(d) = d**2 - 13*d + 22. Let u be i(11). What is the second biggest value in r, 2\/9, u, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - 2)\/10 + 7175\/(-37125). Is -2 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5940 and 44.\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -858382 divided by 1.\nAnswer: -858382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 3*g - 744, f + 5*g = 2*g + 369. Suppose 0 = -42*y + 39*y + f. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.037721 rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11 or -6.783289?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 159341\/282 or 566?\nAnswer: 159341\/282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8389*q + 8442*q - 424 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(36)\/sqrt(3)) - sqrt(704) - ((sqrt(121)*-1)\/sqrt(11) - sqrt(33)\/sqrt(48)))**2*-2.\nAnswer: -5819\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 2 - (-2 - 0). Suppose -5*l - z = -887, l + 171 = 2*l - i*z. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2248 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -k + 17 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, v: 4, w: 4, h: 5}. Give prob of sequence wh.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*q = -82. What are the prime factors of q?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + d - 4*f - 324 = 2*d - f, 18*f - 21*f - 12 = 0 for d.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of c**3\/3 - 3*c**2\/2 - 6*c - 3. Let q(w) be the first derivative of n(w). Let k be q(3). Solve 3*u + k = -6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1632359, -1632350, -1632341, -1632332, -1632323, -1632314?\nAnswer: -1632305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 6*m - 20 - 1\/2*m**2. What is y(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -374753*w + 374778*w = -675 for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**4 - p**4 + 1 + 1 - 8273*p**2 + 8273*p**2 + 42*p**4 + 4*p**4 - 2*p**4 - p**4 + (4*p**3 - 2*p**3 + 0*p**3)*(2 + p - 2).\nAnswer: 44*p**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 5791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -d, -5*j + d + 207 = -0*j. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + -3 + 2 + 153. Calculate the greatest common divisor of 22 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002975 to seven dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -287*o + 262*o + 75 = 0. Suppose -10 + 38 = 4*f. Solve -d + 3*v = f*v - 9, 1 = o*d - v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zth when three letters picked without replacement from ttzthztztzztzt?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 0 + 1 + 0. Suppose -341*n = -316*n - 50. Let y(f) = -7*f**3 - 2. Determine n*l(w) + y(w).\nAnswer: -9*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*3216\/576 - -18?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -3\/2*n**2 + n + 2*n**4 + 7 - 2*n**3. Factor c(o).\nAnswer: (o - 1)*(2*o + 1)*(4*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2825 + -2825.1. Is -430\/3 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 4*p - 8. Let m be (24\/(-10) - 2) + 6\/15. Let d be j(m). Suppose 0 = 23*o - 27*o + d. Calculate the remainder when 44 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 + -37. Let i = -16.0000014 - b. Round i to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 561231 + 98561 - 15*m**3 + 17*m**3.\nAnswer: 2*m**3 + 659792","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 0*w + 17 - 57\/2*w**2 - 1\/3*w**3. Let y(x) = 2*x**2. Give y(z(l)).\nAnswer: 2*l**4 + 228*l**3 + 6498*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 50, 76, 104, 134?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3141 divided by 3\nAnswer: 1047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 473*u**3 + 4*u + 3*u - 451*u**3 - u to r*u**3 + s*u + t*u**2 + k and give r.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 141*c**4 + 20*c**2 + 39*c**2 - 143*c**4 + 72 wrt c?\nAnswer: -8*c**3 + 118*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6905, 2161\/5, 0.2, 5\/4?\nAnswer: 6905","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 630 by -21.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8910772 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-3)*((-8 - -8) + 0). Suppose q = s - 8 + 6. Which is bigger: 6\/7 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*h - 8*h - 3*h - 9*h to the form i*h + s and give i.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 6*w + 6. Calculate x(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 2:23 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*b**2 + 3*b**2 + b**2)*(-12*b + 10*b - 9*b).\nAnswer: -11*b**3 - 22*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -12, 5, -2099, 3 in descending order.\nAnswer: 7, 5, 3, -12, -2099","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -l**5\/20 - 13*l**2. Let n(b) be the first derivative of -b**2\/2 + 1. Calculate n(r(o)).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82071426.\nAnswer: 2, 3, 13678571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 6:43 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 8 - 2 = -2*y, -2*f = 4*y + 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k**2 + 7*k - 5. Let b be z(4). Let y = b - -27. Solve p - 5 = -y for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -160 - -358. Suppose -4*n + j + 215 = -49, 3*n + 3*j = t. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -1428*h**3 - 9*h**2 + 3*h - 990. Let n(o) = 1428*o**3 + 12*o**2 - 4*o + 992. Let z(q) = 4*b(q) + 3*n(q). Find the first derivative of z(f) wrt f.\nAnswer: -4284*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 11:56 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6200961 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 + 0 + 0)*(0 + 2 - 3) + ((-2*r + 2 - 2)*(508*r**2 + 272*r**2 + 109*r**2) + 2*r**3 + r**3 - 5*r**3)*(0 + 5 - 3)*(0 + 9 - 20).\nAnswer: 39162*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/(-2))\/((-5 - -4) + 4). Suppose 32*y - 30*y = x. Factor y - 1\/3*j**2 - 1\/3*j**3 + 2\/3*j.\nAnswer: -j*(j - 1)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iaw when three letters picked without replacement from waiw.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 3*b**7\/40 - 7*b**5\/20 - 7*b**3\/3 + 58. Let x(z) be the third derivative of m(z). Find the second derivative of x(h) wrt h.\nAnswer: 378*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(6*(((sqrt(2) - 2*sqrt(288)) + 5*sqrt(6)\/sqrt(3) + -4)*-2)**2 + -3).\nAnswer: 10368*sqrt(2) + 47799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 3, 114\/7, 86 in ascending order.\nAnswer: 2\/11, 3, 114\/7, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**3 + 1276*c**2 + 15307*c - 5244 = 0.\nAnswer: -12, 1\/3, 437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3309*h**3 + 2059*h**2?\nAnswer: 19854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 778830629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 + -20. Solve 3*l + o*n = -25, -9 = 5*n + 1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.04388 and 51.6339.\nAnswer: 51.67778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -6*v**3 + v**2 - v. Let o be ((-104)\/13)\/(1 - -1). Let l be 5*(-1)\/(-2)*2. Let k = l + o. Give j(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 26*c + 16 = -2*x + 16*c + 12*c, -96 = -12*x - 5*c for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*i - 9567 + 6641 = 0 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-15)\/(-10))\/(6\/8). Let q(w) be the second derivative of 0 + 1\/3*w**3 - 2*w - w**u. Give q(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23.21 - -20.21. What is the nearest to 57 in -1.5, 2\/15, -0.2, o?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-16))\/(18\/24).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*c + 26, 0 = k + c - 2 + 1. Let y = 78353 - 78331. Solve -k*r + y = -3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (486\/(-60) + 8)\/((-6)\/45).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2504979 is divided by 502.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 5*o + 3*o)*(-3*o**4 - 5*o**4 + o**4).\nAnswer: -35*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 403*s = -401*s + 797*s - 322 for s.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4618831.\nAnswer: 7, 47, 101, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/2*(-2)\/3. Let d be (-12)\/(-6) + 116\/10. Let j = d - 602\/45. Which is the closest to 1\/4? (a) j (b) 2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((112\/12)\/7)\/(2\/(-6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 328 a factor of 11792256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -16519, -32792, -48993, -65086, -81035, -96804, -112357, -127658?\n\"Answer: 6*q**3 - 16315*q - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -8*z**2 - 20*z - 83. Let m(w) = 2*w**2. Give f(m(x)).\nAnswer: -32*x**4 - 40*x**2 - 83","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -3\/4 (b) -0.3 (c) 19\/10 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -117 - -116. What is the units digit of 10\/((-20)\/(-18) + a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + 1 + sqrt(448) - 1*sqrt(448)*1)**2 + 3*-1*sqrt(448) + 2 + 0 + -5.\nAnswer: -24*sqrt(7) + 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-241)\/(-964))\/(10 - (-18726)\/(-1872))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.115 plus 499?\nAnswer: 499.115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - 0.2. Let u = -117327 - -1525252\/13. What is the second biggest value in -3, n, u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 14417, 28833, 43249?\n\"Answer: 14416*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 587137 is divided by 13651.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -12645314 times -33\nAnswer: 417295362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 8966, 0.2, 0.1, -1, -765, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 199, -4, 2, -22.\nAnswer: -22, -5, -4, 2, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34894 is divided by 513?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7755254*o*q - 6979819*o wrt q?\nAnswer: 7755254*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163058 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*h - 217*h + 961 = -98*h for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 244230322?\nAnswer: -244230324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 - 2*s - 8621. Let x(f) = 6*f - 2. Determine v(x(n)).\nAnswer: 72*n**2 - 60*n - 8609","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 239\/130 + -27\/26. Let t(r) be the first derivative of 3*r**4 - 20\/3*r**3 + z*r**5 - 6*r**2 + 16 + 16*r. Suppose t(d) = 0. What is d?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7751139?\nAnswer: 3, 11, 131, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of x**9\/20160 - x**8\/3360 - x**5\/12 + 6*x**2. Let u(l) be the third derivative of g(l). Factor u(k).\nAnswer: 3*k**2*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/25 and -31\/100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -11*u. Let r be n(2). Let d(s) = s + 50. Let v(l) = -1. Let o(z) = d(z) - 3*v(z). Does 3 divide o(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(847) + 0 - sqrt(847))**2 - (sqrt(847) + 5*(sqrt(847) + 1)) - (2 + ((2 + sqrt(847) + sqrt(847)*3)**2 - sqrt(847))).\nAnswer: -13562 - 231*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 85975451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -61\/120*f**6 + 0*f + 0*f**5 + 0*f**4 + 0 + 87*f**2 - 17\/3*f**3. Differentiate s(w) with respect to w.\nAnswer: -183*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**3 - 5*z**2 - 18*z - 1. Let k be g(-8). Let h = -843 - k. Calculate the common denominator of -58\/3 and h\/180 + 6\/(-12).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 4762087?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w. Let z(o) be the second derivative of -o**3\/3 + o**2 + 32*o. What is -2*p(f) + z(f)?\nAnswer: -4*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1751, -1747, -1737, -1721?\nAnswer: -1699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281*s - 356*s = -209*s + 10272 for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 w when four letters picked without replacement from {d: 7, w: 6}.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/6 of a year?\nAnswer: 34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*((-j - j + 0*j)*(0 - 4 + 2) - j - 2*j + 2*j + (-4 + 4 + 11)*(-221*j + 3 - 3)*(4 + 0 - 1)).\nAnswer: 7290*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2*1*(-26)\/39?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 9 - 12)*(2*m - 2*m + 9*m) + 4 - m - 4 + 2*m - 6*m + 2*m - 5*m + 4*m + 3*m + (-4*m - m + 3*m)*(0 + 4 - 5) + 3*m - 3*m + 2*m as t + i*m and give i.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 448. Let p(t) = 3*t**2. Determine f(p(g)).\nAnswer: 9*g**4 - 448","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 2:22 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**2 + 63*z + 63. Determine s(33).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*w**2 - 154 - w - 2*w**3 + 7*w**2 - 4*w**2 - 10*w**2 + w**2 in the form y + z*w + m*w**3 + f*w**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 234 + 4?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17482 - -39343.\nAnswer: 56825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1975 = 155*n + 190*n + 50*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*r - 13. Let t = -9 + r. What is the biggest value in t, -1\/4, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from naacacwa. Give prob of picking 1 c and 1 w.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/357, -0.3, -197, -2\/7?\nAnswer: -1\/357","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17160755 + 12561675917\/732. Let g = 2\/61 - a. Let w = 4237\/338 - 6\/169. What is the common denominator of w and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + r + (2 - 2 + r)*(-6 + 1 + 3))*(-2 + 5 - 9)*(-r - r**2 + r) - 104*r**3 + 92*r**3 + 48*r**3.\nAnswer: 30*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 - 9 = 6*v. Solve -21*i = -v*i + 64 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17, -21, -27, -35?\n\"Answer: -g**2 - g - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 40 - 43 = -2*k, 5*d + 30 = 5*k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -h + 4294, 82*h = -2*s + 78*h + 2140. Which is smaller: s or 1075?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l + 2*l**2 + 0*l + (-3*l + 3*l - l)*(0*l - 3*l + 4*l) - 14*l**2 + 258 - 258.\nAnswer: -13*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -421543 (base 9) to base 11.\nAnswer: -16121a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 69006 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1566*r**2 + 519*r**2 + 520*r**2 + 527*r**2 - 6*r**3 + 40*r**3.\nAnswer: 34*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180007.\nAnswer: 180007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-165)\/66 - (-15)\/((-28500)\/(-4340))) + 2\/(-20).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 22*r**3 - 2*r**2 + 25. What is o(3)?\nAnswer: 601","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 131 + -6b2?\nAnswer: -581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 4 + -2 + 1779 + -1736 + 63.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16*n**4 - 3*n**2 - 372?\nAnswer: -64*n**3 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -90159348 or -90159346?\nAnswer: -90159346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60650 and 18650.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, s: 1, r: 5, m: 4}. Give prob of sequence mmmw.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*c**4 + 2\/3 - 4\/3*c**2 + 0*c + 0*c**3.\nAnswer: 2*(c - 1)**2*(c + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 310 and 31.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 4*h + 3. Let z be n(-3). Let c be (-12)\/(-5 - 1) + (-415)\/182. Let k = c - -5\/14. Do k and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by (-11)\/132 + (-37)\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -215 - -281 - (-2 + 3 + -6 - -11).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**3\/5 - 113179*m**2\/5 - 45271*m - 113177\/5 = 0.\nAnswer: -113177, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(190) + sqrt(190)*2))\/(2*sqrt(40)\/sqrt(4)).\nAnswer: -3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1360077827.\nAnswer: 1360077827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-455)\/(-6461)*22*10\/550.\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -260*m - 145. Let p(w) = 519*w + 285. Let s(u) = 5*d(u) + 3*p(u). What is the first derivative of s(g) wrt g?\nAnswer: 257","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59 - 33. Does 2 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1433 greater than 1433?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eddqeqqqqeedz. Give prob of sequence ed.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6498, 6490, 6480, 6468?\n\"Answer: -y**2 - 5*y + 6504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 634683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4 - 11 = 0. Which is the second biggest value? (a) t (b) -1\/4 (c) 4 (d) -11\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3440, -6690, -9938, -13184, -16428, -19670, -22910?\n\"Answer: v**2 - 3253*v - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s**3 + 1 - 3*s - 5*s**3 - s**4 + 11*s**3 + s to y + w*s**3 + b*s**4 + i*s**2 + g*s and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x + 4*s = -8*x - 6, -4*s - 8 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145 - 40*z + 72 + 79*z - 37*z.\nAnswer: 2*z - 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (6 + -4)*(-721 - 3)\/(-2) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 463470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -814*p + 2*p**3 + 4*p**4 + 813*p - 57 + 58 - 3*p**2 to b*p**3 + k + o*p**4 + r*p + w*p**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.75299 to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.88 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*a**3 - 419*a**3 + 138*a**3 - 404*a**3.\nAnswer: -718*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 165266 to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l**3 - 2*l**3 - 3*l**3)*(-l**2 + 2*l**2 - 3*l**2) + 4*l**3 - 4*l**3 - l**5 - 2*l**5 + 7*l**3 - 2*l - 7*l**3.\nAnswer: -5*l**5 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(((-45)\/(-10))\/(-3)). Suppose -2 = -5*l + m. Calculate the least common multiple of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -49*y**3 - 12*y**2 - 3*y + 4. Let c(b) = -25*b**3 - 5*b**2 - 2*b + 2. Calculate 5*c(u) - 2*f(u).\nAnswer: -27*u**3 - u**2 - 4*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17.1 - 19.1. Let x = -471 - -474. Sort 1, a, 2, x in decreasing order.\nAnswer: x, 2, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0210855 and -0.2.\nAnswer: -0.1789145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 s, and 1 o when four letters picked without replacement from {m: 1, w: 6, s: 8, z: 1, o: 3}?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/5)\/((-728)\/3185).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q - 1. Let z be r(8). Let o(v) = 6*v**2 + 38*v - 19. Let w be o(-7). Which is smaller: z or w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 0, 12, 34, 72, 132, 220, 342, 504?\n\"Answer: x**3 - x**2 + 8*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 64*a - 318. Let z be s(5). Solve -3*r + 3 = -5*j + 38, 0 = -5*j + z*r + 30 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 12*f**2 - 13*f + 3. Let b be p(13). Let g(l) = 2*l**2 + 20*l - 2537. Let n be g(31). Solve 0*h + 4 = b*h - 2*t, 0 = -5*t + n for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -15*4\/(-9)*3. Let n be 16\/10*(-105)\/(-6). Let p = n - h. Round p to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3826.201 millilitres in litres?\nAnswer: 3.826201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6.2, -1\/38, -0.041?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16530471 and 7944?\nAnswer: 132243768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-12)*(-1)\/(-2). Which is the closest to 0? (a) d (b) 2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4569 * 247\nAnswer: 1128543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**5 - 4*b**4 + 6*b**3 - 2*b**2 - 5*b. Let z(i) = i**5 + 3*i**4 - 5*i**3 + 2*i**2 + 4*i. Let y(f) = 5*r(f) + 6*z(f). What is g in y(g) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-23)\/(-5) + -3 + 170\/50. Solve 4*q - 4*v = -v - 23, -29 = l*q - 4*v for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, c: 1, q: 5, t: 1, r: 7}. Give prob of sequence qc.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxpv. What is prob of sequence pxv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76673, -76832, -76995, -77162?\nAnswer: -77333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11289930 times 2?\nAnswer: -22579860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -212\/85039?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16015 is divided by 824?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-150*w - 228*w - 504*w - 20*w)*(-2 + 2 - 3)*(-2 + 2 + w) to q + x*w + h*w**2 and give h.\nAnswer: 2706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -14, 15, 2 in decreasing order.\nAnswer: 15, 2, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -123 and 4.\nAnswer: -492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 32*a - 10 = -34*a, -4*l = -5*a - 45. Let x be 4 + -1*(1 + 1). Solve x*r - l = r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-120)*24\/(-28)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/13070 and -43\/2062446.\nAnswer: 10312230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**3 - q + 41 + 5*q + 5*q - 11*q - 2*q**2 to u*q**2 + y*q**3 + o + i*q and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -2*x - 20. Let f = 32 - 18. Let o = x - f. What is the remainder when 47 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v - v + 7*v**2 - 4*v + 17. Let b be d(-5). What is the highest common factor of b and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6288572, -25154314, -56597218, -100617284, -157214512, -226388902?\nAnswer: -308140454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -17*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/(-2850)*-5*94*-15?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 15*u + 663. Let k be q(-21). Calculate the highest common divisor of k and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22200144?\nAnswer: 2, 3, 317, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*t**2 + 1 + 10*t**2 - 98*t**2 - 126*t**2 - 41*t**2.\nAnswer: -328*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1371 + 6827\/5. Let a = y + 421\/10. Find the common denominator of a and (12 + -11)*(-41)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2765, 2691, 2553, 2345, 2061, 1695, 1241, 693?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*w - 324 = 0, -283 - 47 = -2*z + 2*w. Find the second derivative of 82 - 27*q**4 - q - z + 85 wrt q.\nAnswer: -324*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8 - -1) + (-12650)\/(-1725). Let w = 92\/9 - 1721\/171. What is the closest to y in -0.4, w, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -49 - 4*y + 38 - 10*y - 103. Determine s(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20123868071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q*(((q*q\/(q*q**(-7)))\/q)\/q)\/q)\/q)**(21\/2) assuming q is positive.\nAnswer: q**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*w = -19*w + 45. Let x = -2 + 18. Calculate the smallest common multiple of (-216)\/(-15) + 6\/w and x.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 937*h**3 - 315*h**3 - 636*h**3.\nAnswer: -14*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 61*h**2 + 250*h + 658. Determine k(65).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (816*m**2 + 2262*m**2 - 115*m**2)*(2*m - 2*m - 2*m + (-1 + 0 + 3)*(m - m + 2*m)).\nAnswer: 5926*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 87 + 59?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (242\/(-40) + 6)*-3*4\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*z + 248*z + 13161 - 5153 for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 15, -p + 0*s = -5*s - 19. Suppose 0*m = -p*m + 16. Solve -3*r + 4 = -m*l - 7, 5*l + 20 = 5*r for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49\/195 + -1\/780. Let l(i) be the first derivative of -7\/2*i**2 - 5 + 2*i + 7\/3*i**3 - j*i**4. Find the second derivative of l(h) wrt h.\nAnswer: -6*h + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 864 and 284256?\nAnswer: 284256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/139? (a) 2 (b) 5 (c) 0 (d) -2\/7 (e) 0.1 (f) -29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15393.\nAnswer: 3, 7, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1724122990?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n + 9. Let w be d(7). Which is smaller: 3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v + 2*v - 2*v + 2*v - 5*v + v + (-5 - 1 + 3)*(-2*v + 0*v + 16*v).\nAnswer: -49*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 + 7*n. Let c be v(-5). Let d(o) = -o**3 + 17*o**2 - 15*o + 46. What is the units digit of d(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 133\/4 + -1063\/12. Let u = p - -55. What is the closest to u in 0, -4, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**4 - 94941*m**3 - 11234022*m**2 - 342660636*m - 641144760 = 0. Calculate m.\nAnswer: -58, -2, 31765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 5658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000142 to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 10*z**3 + 859*z**2 - 3*z + 7143. Determine d(-86).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4997920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6494 + -6495.1. Which is the third biggest value? (a) -22 (b) 0.5 (c) x (d) -5 (e) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14954 greater than 4176?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -96 - -95.865. Let v = b - -0.275. Let n be -3 - (36\/(-21) - 1). Do v and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -121 - -125. Suppose -18*s - i - 14 = 0. Put 0.1, 1\/5, 0.3, s in descending order.\nAnswer: 0.3, 1\/5, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 58.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -298 - 16037?\nAnswer: -16313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2757*t**3 - 24*t**2 - 24*t. Let o(y) = -950246*y**3 - 8271*y**2 - 8271*y. Determine -8*o(x) + 2757*p(x).\nAnswer: 919*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252*l - 426*l - 793*l - 369*l + 77488 = 0 for l.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -9549*z - 191008. Calculate g(-20).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19.97 + -0.03. Let g = 15 + q. Put 0.5, 1\/3, g, -1\/6 in descending order.\nAnswer: 0.5, 1\/3, -1\/6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 7 + 2 = -5*n, 4*s = n + 20. Let t(o) = 16*o + 11. Let i(m) = -m + 1. Let d(k) = -5*i(k) + t(k). Is d(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -1344231?\nAnswer: 1344221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1095142451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40126 or 40124?\nAnswer: 40124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-4)\/8*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 181409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-3)*k)**(-9\/8) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*q - 81. Suppose -d + 4*h - 44 = -18, -3*h = -2*d - 27. Let n be 274\/18 - d\/q. What is the highest common factor of n and 90?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*b + 85 - 13 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 929409*h**3 - 1121943 with respect to h.\nAnswer: 2788227*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1.2, -0.22, 10 in descending order.\nAnswer: 10, 1.2, -0.22, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 469082813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*s + 4*k, 2*s + 203*k = 198*k - 9. Solve 4*i - s = g, 8*g - 3*g + 5*i + 15 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*c - 1 - 3*c - 2*c + 4*c - 3*c + 0*c + 2*c + (-3*c + c + 0*c)*(0 + 4 - 6) + (0 - 2 + 0)*(5*c - 4*c + 10*c).\nAnswer: -18*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 311146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -13341 < -13330?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229103.\nAnswer: 7, 23, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 699207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1021 + 1322 = 213*q. Suppose -j - 11 = -88. What is the highest common divisor of q and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -64 + 40. Let s = -882 - -880. Put s, d, 5, -3 in decreasing order.\nAnswer: 5, s, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 23a - 5?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 1 + 3 + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 + 80*l**2 - 460*l - 1200.\nAnswer: 5*(l - 6)*(l + 2)*(l + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2241162 - 29106*p - 2\/11*p**3 + 126*p**2.\nAnswer: -2*(p - 231)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 3.5 (b) 2\/7 (c) 4 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -788?\nAnswer: -788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122 + 33?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 - 77 = 3*k. Let i = 3 - 0. Suppose 0*j + 24815 = 5*o + i*j, 0 = -k*o + j + 9915. What is o rounded to the nearest one hundred?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*x**2 + 35633*x - 1 - 35633*x + 26*x**3.\nAnswer: 26*x**3 + 56*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 217.83 - 219. Let r = -0.03 + f. Let x = r + 1.20000012. Round x to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320512\/15 greater than or equal to 88034?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -133843 (base 9) to base 10\nAnswer: -81606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1432 and 351556?\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 11. Suppose -y + u*i + 38 = 4*y, -i + 14 = y. What is the least common multiple of 4 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 3:35 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10422737 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2.1 or 4860?\nAnswer: 4860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 4. Solve 3*p = -p - n for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -342 - -440. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p - 6036 + 6036.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/(-4) + 19\/((-418)\/(-715)). What is the greatest common factor of 80 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/13 < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.292 - -0.708. What is the closest to -11 in 1\/2, w, -0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(208)*5)**2 - (-5*sqrt(13)*-2 + -5*1*sqrt(13)).\nAnswer: -5*sqrt(13) + 46800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**6\/(s\/(s*s**4\/s*s))*(s**(-11)\/s)**(-1) assuming s is positive.\nAnswer: s**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -136 + 66. Let s = o + 69.9724. What is s rounded to 3 dps?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-13286)\/39 - 2\/(-3))\/(-1). Suppose -2*f = -4*u + h, u - 2*f = -5*f + 71. What are the prime factors of u?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-11 - (-18 - -65 - 69)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = w + 2*w + 5, -5*v - 3*w = 19. Sort 9, v, -3 in increasing order.\nAnswer: -3, v, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 11*p + 4 - 8.\nAnswer: 11*p - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 320852, 640240, 959626, 1279010?\nAnswer: 1598392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((7 - 16) + -2)\/1 + 1\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1765.182 tonnes?\nAnswer: 1765182000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*f, -8*c + 3*c - 6 = 3*f. Suppose -73*s = -68*s + 55. Put s, -4, c in decreasing order.\nAnswer: c, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 0*q - 22 = -u, -7 = 4*u + 3*q. Let h(n) = 41*n**2 + 19*n**2 - 9*n**u - 2*n**2. Let s(z) = 3*z**2. Determine h(s(r)).\nAnswer: 441*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/483 and 81\/1204?\nAnswer: 83076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -2\/3, 0, -4, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, -94, -95, -96, -97?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 523, 4 in descending order.\nAnswer: 523, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 964 a factor of 314338690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2b + -56728?\nAnswer: -56753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q - 35 = -11 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 164 and 155325712.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**5\/4 - 952*p**4 - 90673*p**3\/4 + 65958*p**2 - 33615*p = 0.\nAnswer: -1245, -27, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -12343 times -0.5\nAnswer: 6171.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18465 rounded to 2 decimal places?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 6*j + 11. Suppose f + 40 = -4*f. Calculate w(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 7 - 3 = 0, 4*k = -2*v + 380. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1091.4887 and -0.017.\nAnswer: -1091.5057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 124 + 7 = 0. Let p be (o\/(-4))\/((-12)\/(-32)). Let c = -14 + p. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -782 = -3485*t + 3451*t for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -81*i**5 + 6*i**4 - 5*i**2 + 217*i - 6. Let a(j) = j**4 - j**2 - j - 1. Let n(z) = 6*a(z) - c(z). Find the second derivative of n(w) wrt w.\nAnswer: 1620*w**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12166 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-87)\/(-2)*(-1 - 2\/(-6)). Let l = 34 + z. Suppose l*q + 5*o = 450, -2*q - 4*o = -7*q + 414. What is the lowest common multiple of q and 8?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 1. Suppose j = 5*v - 8, -2*v - 5*j + 14 = -0. Suppose 12 = 4*g - v*k + 4, 5*g = -2*k - 8. Which is smaller: g or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1992 - 400 = -199*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - n. Let z(o) = -o**3 + 3*o**2. Give -3*q(i) + z(i).\nAnswer: -i**3 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*z**4 + 19*z**3 - 761*z**2 + 2 wrt z?\nAnswer: -480*z + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11518 or -1704721\/148?\nAnswer: -1704721\/148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 4*o**3\/9 + 114*o**2 + 691. Factor t(j).\nAnswer: 4*j*(j + 171)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - (-5 - (35 - 14)) - 25?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -b**5\/6 + b**4\/8 + b**3\/3 + b**2. Let w be z(6). What is w rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 69028, 138744, 208460, 278176, 347892?\n\"Answer: 69716*f - 688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 15 = -5*w. Let t(i) = -2*i**3 + 9*i**2 + 4*i + 5. Let b be t(w). What is the first derivative of b + 2 - 9 - 8 - 2*v**4 wrt v?\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 198 - 194. Let v be -2*(-3 - (-4 + -3 + 5)). Sort 19, v, o in descending order.\nAnswer: 19, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000109763 rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -8116000 to the nearest 100000.\nAnswer: -8100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.6 - -2. Let v = -0.8 + 0.8. Let r = -0.3 - v. Which is the second smallest value? (a) -3\/5 (b) x (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -c + 4, -46*c = -46*c + 4*b for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 7*((-3)\/15)\/(33\/165)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -1241*s**2. Let r(z) be the first derivative of z**3\/3 + 2723. Calculate r(j(w)).\nAnswer: 1540081*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n - 22. Calculate r(0).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 5*y = 10211, w + 2*y = 1914 + 638. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 113957870*f**4 + f**2 - 434178633?\nAnswer: 455831480*f**3 + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2789723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 251900 + -4?\nAnswer: 251896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -78.\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/16*(59\/(-63 + 1066) + 19\/(-34))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 10\/(-4)*(-32 + (-310)\/(-25)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*c + 25 = -40*c. Let g be 4\/2*c\/2. Solve -g*f + 0*x - 6 = -3*x, -x = 2*f + 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1*(2*sqrt(1216) + -1))**2)*4.\nAnswer: -128*sqrt(19) + 19452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6224.9 + 2.\nAnswer: 6226.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 2) in base 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -72 (base 14) to base 5\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1285.281kg to grams.\nAnswer: 1285281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 4:04 PM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 <= 3\/165637?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**4 + 19*p**2 + 27*p wrt p?\nAnswer: -12*p**2 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -21*f + 20 + 4 + 2. Let v(c) = -10*c + 13. Let o(a) = 3*b(a) - 7*v(a). Let l be o(7). What is the highest common divisor of 9 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**2 + 6*i**2 + 0*i**2 + 0*i**2 + 3*i**2 - 5*i**2 + i**2 - i**2 + i**2 + (-1 + 60*i + 1)*(4*i + i - 3*i) + (-4*i + 5*i + i)*(-i + 0 + 0).\nAnswer: 124*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1028 and 7657315?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -14*a**2. Let s(r) = -36*r - 73. Determine j(s(h)).\nAnswer: -18144*h**2 - 73584*h - 74606","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-9))\/(4\/(-12)). Suppose -a + 1 = 0, -5*a = -3*b - 0*a + s. Let t(v) = -v**2 + 2*v**b - 2*v + 2*v. Let u(r) = -r**2. What is u(t(n))?\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 6*l**2 - 3*l - 4. Let i(b) = b**3 - 5*b**2 + 2*b + 1. Let h be i(2). Let r be y(h). Suppose 0 = -4*p + r + 374. Is p a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gi when two letters picked without replacement from {i: 1, t: 4, x: 3, g: 1, y: 3, q: 6}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**2\/4 - 33*j\/2 - 32 = 0.\nAnswer: -64, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 9*l**2 - 15*l + 1. Calculate the remainder when 35 + (2 + 0 - 1) is divided by p(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from ssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15038 and 3.\nAnswer: 45114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 8847557 to the nearest 10000.\nAnswer: 8850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1309\/68*(-112)\/98.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 390091587?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m - 3. Let v = 5 - 22. Let u = 22 + v. Let f(b) = -4*b - 5. Give u*d(n) - 3*f(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((33\/(-22))\/(-1)*-2)\/9.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 4*m + 28 = 0, 32 = 4*s + 4*s + 2*m for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**2 - 4*c**2 + 525*c**3.\nAnswer: 525*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 39 = -o, 41*z + 141 = 4*o + 38*z. Solve -4*i - o = 5*w - 10*w, -4*w - 3*i + 14 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16231*b + 8492 + 31516*b - 15759*b with respect to b.\nAnswer: -474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -17*b + 8. Let n(t) be the second derivative of -t**3 + 3*t**2\/2 - t. Determine -11*n(f) + 4*y(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 12:28 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/22730 and -73\/22730.\nAnswer: 22730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 8:10 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -25*t - 3. Let g(i) = 25*i - 6897. What is g(h(n))?\nAnswer: -625*n - 6972","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26814 + 26816. Let j(g) be the first derivative of -38 + 0*g**a + 0*g - 2\/3*g**3. Let v(f) = 73*f**2. Determine j(v(z)).\nAnswer: -10658*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-730)\/80*(2 + -3) and -41\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 305560 (base 7) to base 5\nAnswer: 3134143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -29 (b) 4 (c) -2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 715 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -1630 in decreasing order.\nAnswer: 5, -4, -1630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5335.731l?\nAnswer: 5335731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1\/4 (b) -3\/11 (c) 42\/127 (d) 3\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 5*z - 4 - 14 = 13, 2*z = 16 - 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -106 (base 14) to base 6.\nAnswer: -534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 1441*a**2 - 32*a + 12. Suppose 119 + 217 = 24*w. Let y be l(w). What is y rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**2\/5 - 789432*j\/5 = 0 for j.\nAnswer: 0, 394716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 139, 600, 1381, 2488, 3927?\n\"Answer: w**3 + 154*w**2 - 8*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 19. Let h(d) = -d**2 - 13*d - 8. Is h(b) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + x**2 - 2*x - 10. Let k be m(-2). Solve k*w + 2*v = w, -5*v = -w + 27 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -7376.\nAnswer: -3\/7376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -39783 less than -1534.87?\nAnswer: 38248.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 3830*b - 53520. Calculate l(14).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((3 + 1 - 2) + -21 + 3).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1990 and 27462?\nAnswer: 137310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 5*y - y)*(-67 + 18 + 24 + 25 + 25682*y).\nAnswer: 25682*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**3 + 5 - 119*f**3 - 5 - 11*f**3.\nAnswer: -130*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 less than 1.92?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2306*f + 7. Let a(r) = 1536*r + 5. What is 7*a(q) - 5*w(q)?\nAnswer: -778*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2. Let k(j) = j**2 - 5. Give a(k(i)).\nAnswer: i**4 - 10*i**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 7*g**2 - 34*g - 357. What is the remainder when m(-11) is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d**2 + 3*d - 9. Let j(t) = -2*t**2 + t - 4. Let w(m) = 5*j(m) - 3*k(m). Let h be w(-5). Solve -3*u + 10 = h*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(870\/(-40)*4).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -66, -22917, 11, 3 in increasing order.\nAnswer: -22917, -66, 3, 4, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 130316340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 989648?\nAnswer: 2, 11, 5623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yl when two letters picked without replacement from lyyylllzlzlilcllzli?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1604422?\nAnswer: 2, 61, 13151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 5*g. Calculate the remainder when q(6) is divided by (-4)\/24 + 134\/12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 + 26641*a - 9046168.\nAnswer: -(a - 26297)*(a - 344)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17414.\nAnswer: 2, 8707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 35*w**2 - w + 26. Let p be b(-36). Let v = p + 2545. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*d**2 - 10333*d - 28*d**3 + 10333*d wrt d?\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**5\/7 + 22*x**4\/7 + 6*x**3\/7 - 62*x**2\/7 - 44*x\/7 = 0. What is x?\nAnswer: -1, 0, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2 - 4*h. Let r(f) = -4*f**2 - 7*f + 2. Let g(c) = 5*k(c) - 2*r(c). Give g(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 - 11. Let h = 13 - b. Find the second derivative of h*y**3 - 7*y + 9*y**3 - 5*y**3 wrt y.\nAnswer: 42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l*l*l**(2\/11)\/l)\/l*l)\/l*l**6)\/(l**(3\/4)\/((l*(l\/((l\/((l**(-2\/15)*l*l)\/l))\/l))\/l)\/l)) assuming l is positive.\nAnswer: l**(4817\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*q + 3*i + 36, -2*i = -8. Let g be (-4 - -1)*q\/12. Solve 0 = -g*k - 0*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -28*w - 20. Let r be o(-6). Suppose -3*v + 2*v = 4*m - r, 0 = 5*m + 25. Is 29 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 277003 - 5?\nAnswer: 276ddc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 + k + 1. Let g(v) = -2*v**2 - 1. Let q(x) = g(x) + 2*i(x). Suppose 4*p = 4 - 12. What is q(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 c when two letters picked without replacement from qwqqqcqqcfqqqqqhqqlw?\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (6 + (2 - 15)) - (-2 + -6 + 21).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**2 - 17056*y + 51132 = 0. Calculate y.\nAnswer: 3, 4261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**3 - 2*a - 104 + 137 - 2*a**3 - 2*a**2 + 251 + 4*a**3 to x*a**3 + v*a + h*a**2 + z and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 26. Let q = z - -10.2. Let r = q + -6.2. What is the third biggest value in r, -2, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19172.\nAnswer: 2, 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5269 and 46942.\nAnswer: 516362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 - -0.3. Suppose -4*d + 5 = -g, 0 = -2*g - 4*d - 0 + 2. Let z be 64\/78 + 2\/(-3). Sort z, g, u.\nAnswer: g, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 422227975 a multiple of 3385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1824 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 8*l. Let r be z(8). Suppose -d - 26 = -b, -b + r*b = 3*d - 10. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -125.6 - -119. Let t = -6.651 - v. Let p = t - -0.071. What is the smallest value in p, -3\/5, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 4 + (-4 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*m - 74*m = -0 - 0. Let v = -10 + 6. Which is the nearest to m? (a) 5 (b) v (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -11. Sort o, -2, 2.\nAnswer: -2, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 plus -51?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 941 and 939 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3 + 2544*a**2 + 5116*a - 7656.\nAnswer: -4*(a - 638)*(a - 1)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 2 (c) -1\/7 (d) 0.66 (e) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3728 - -3785. What is the highest common factor of y and 10260?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -552497, -1104999, -1657501?\nAnswer: -2210003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5923 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1933, 1929, 1925, 1921?\n\"Answer: -4*p + 1937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5243 and 354589333?\nAnswer: 5243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7200 - 838131543?\nAnswer: -838138743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 - 30. Suppose 5*u - r*c = -0*c + 10, -c = u - 2. Suppose -5*d = 2*n - 1, 0*n - 3*n = -2*d - 11. Solve -2*g - 4*o = -10, u*g + 5*o = n*o for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33796829 is divided by 11265605?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1276297433 - -0.11525\nAnswer: -1276297432.88475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from miifiiimiiiiimmimi. What is prob of picking 1 m, 1 i, and 1 f?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2340 and 170?\nAnswer: 39780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 104164436415.99999311 + -104164436837. Let z = -421 - g. What is z rounded to 7 dps?\nAnswer: 0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -228.406407 rounded to the nearest 10?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 + 3?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + 35. Let f = -0.053 - 64.947. Let k = f + r. Put -0.3, k, -0.4, 0.4 in increasing order.\nAnswer: k, -0.4, -0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7192 = 7189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-5))\/(-4)*70\/(-56)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140\/28 + 18\/(-4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4300320571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in centimeters?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - 4*2682\/(-12). Let g = -835 + r. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 21\/(-15) - (-85)\/25. Suppose -x*y - 6 = 0, 0 = -4*j + 3*y + 11 - 2. Let s(u) = -u**2 - u - 35. Determine s(j).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 533*m + 9733. Does 154 divide z(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 48*j**2 - 2*j - 82. What is the tens digit of a(49)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) - 1*sqrt(180)) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/12 (b) -8392 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 666, 1952, 4100, 7116, 11006?\n\"Answer: d**3 + 425*d**2 + 4*d + 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-145)\/(-10) - 2\/4. Let f be 1 + 3\/(-3) - -13 - -1. What is the greatest common factor of f and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -2. Suppose p = 4*r - r. Suppose 5*o + 0*z + 5*z - 20 = r, -o - 3*z + 8 = 0. Solve -j = o*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 37418, 37424, 37430, 37436?\n\"Answer: 6*s + 37412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -77*z - 7. Let y be o(-3). Suppose -x - x + y = 0. Suppose s = -2*a + 5*a - x, 2*s = 3*a - 113. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 + y - y + (-4 + 2 + 0)*(-6*y**3 - 1 + 1) + 3*y**3 - y**3 - 3*y**3 + (2*y**2 - 2*y**2 + 2*y**2)*(4*y - y - y) - 2*y**3 + y**3 - y**3.\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294644 is divided by 2181.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m**2. Let w(x) = -141*x**2. Calculate b(w(v)).\nAnswer: 99405*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -34, -28, -8, 32, 98?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167045 = 22*q - 166627 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -431 + 2158\/5. Sort -4\/5, 1\/22, u, -0.2 in decreasing order.\nAnswer: u, 1\/22, -0.2, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**4\/4 + 3*v. Suppose -2*q = 3*w - 2 - 2, -2*q + 4 = -3*w. Let r(s) = w + 3 - 3 - 3*s**2. What is y(r(f))?\nAnswer: 27*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/2 - 222467*r**2 - 889862*r - 889860.\nAnswer: -(r + 2)**2*(r + 444930)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -3*t**8\/112 - t**5\/60 - 2*t**4\/3 + t**3\/6 - 8*t**2. What is the second derivative of w(b) wrt b?\nAnswer: -180*b**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -287\/365 - 1\/73. Let x be 16*(5 - (1 + -1)). Let y = x - 81. Which is the smallest value? (a) 3\/5 (b) o (c) y (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -13. Let s be 4\/((18\/3)\/3). Suppose 0 = -2*p + s*a + 3*a - 16, 5*p - y = -a. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 1.4, -2\/113, -0.247, -2?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 7:19 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1008036 and 7659.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 * 445.\nAnswer: -5785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4123\/(-133) - (-230)\/10?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i + 10 = -11*i. Let j be i + -2 - (-2 - 3). Find the third derivative of 27*x**5 - 49 + 10*x**j - 14*x**2 + 49 wrt x.\nAnswer: 2220*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 195 = -181. What are the prime factors of v?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (12939\/(-171))\/((-1)\/39)?\nAnswer: 13, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + sqrt(5) + -2)**2.\nAnswer: -60 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*i**2 + 103*i**2 - 63*i**2.\nAnswer: -47*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4 + 10 = 3*w, -4 = -2*g. Let t(o) = -o**3 + 5*o**2 - 5*o - 1. What is t(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 4 + 5)*(5*f + 0*f - 3*f) - 3*f + 20 - 20)*(-4*f + 4*f - f**3).\nAnswer: -3*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*k = -198*k - 320*k - 24*k + 19933 for k.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5900506 = 3*w - 2141506. What is w rounded to the nearest 10000?\nAnswer: -1250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/10)\/((-43)\/258)*-5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22687848?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58 + -6 - -31) + -34.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4132 and 28.\nAnswer: 28924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -11, -10451.\nAnswer: -10451, -11, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 1. Let q(w) = 12*w**2 + 6*w - 3. Let b(o) = -2*h(o) - q(o). Let y(p) = 2*p**2 + p - 1. Give 2*b(k) + 11*y(k).\nAnswer: 2*k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27002 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-8)*(-6)\/(-9)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5471914*t - 4557825?\nAnswer: -5471914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 79 - 54 = 0. Suppose 5*y - 7*y = -r*w + 183, 3*w - 5*y = 106. Solve 6*k = w - 7 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -2\/3*p**3 - 3 + 0*p**2 + 1\/12*p**4 + 3*p. Let w(k) be the first derivative of m(k). What is w(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 84 - 60. What is the greatest common divisor of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 36 = -9*u. Let l be ((-834)\/4)\/((-3)\/u). Suppose -3*b - 2*j = -4*j - 1235, -b + 2*j = -l. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22 and 11.\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -67928*z + 3183. Is w(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -58*k**2 - 84916*k - 5856.\nAnswer: -2*(k + 1464)*(29*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j**2 + 8*j + 4. Let x(q) = -6*q**2 - 9*q - 4. Let n(u) = 5*k(u) + 4*x(u). Suppose -2*w + 8*m = 4*m + 24, -3*m + 24 = -3*w. What is n(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*y + 72 = -28*y. Is y a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 608 or 1054?\nAnswer: 1054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.313 rounded to one dp?\nAnswer: 36.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 1 (c) -138 (d) 0 (e) -5\/4 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -m**4\/18 + 16*m**3\/27 + 61*m**2\/9 + 104*m\/9 + 3268. Find k such that g(k) = 0.\nAnswer: -4, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c**3\/2 + 922*c**2 - 92807*c\/2 - 47320 = 0. Calculate c.\nAnswer: -208, -1, 455\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.16, -29, -0.3, 5, -5, -937 in decreasing order.\nAnswer: 5, 0.16, -0.3, -5, -29, -937","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 d when two letters picked without replacement from {m: 2, i: 1, p: 10, w: 1, d: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*c**2 + 1797*c - 3 - 1797*c to l*c**2 + b*c + g and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 - 39. Suppose 6*z - m = -4*w + 2*z, 31 = 4*w - z. Let j(h) = h + 4. Let t be j(w). Solve -1 = 3*x + t for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 502619324 to the nearest integer?\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/5 of a millimeter?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -0.3, 12.2, 3\/4, 5\/49?\nAnswer: 5\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.6 + 5. Let l(v) = v**3 + 4*v**2 + 2*v - 3. Let r be l(-3). Let y = 1 + r. What is the second biggest value in s, -3, y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-200)\/(-5))\/(-4*14\/(-28))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 882742959.\nAnswer: 3, 7, 1327, 10559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -296 - -718. Let n = a - 185. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -49, -63, -57, -25, 39?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.249 (b) 64\/5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2 + 0 + 11*g + 4. Let j(a) be the first derivative of 50*a**2 + 55*a - 2318. Let r(s) = 6*j(s) - 55*x(s). Let d(p) = -9*p. What is r(d(n))?\nAnswer: 45*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87930334?\nAnswer: 2, 23, 1911529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 58 = 3*v + v, -2*v = -5*w - 34. Suppose v*h - 4 = 13*h. What are the prime factors of -1 - (h - -7) - -16?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 8. Suppose 4*r + 25 + 6 = 3*n, -11 = -x*n - r. Suppose 7*z + 6 = 69. Calculate the remainder when z is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*u + 24*u = 4*v - 1393, -2*u + 937 = v. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 13*g - 5. Let j(p) = -2*p - 5. Let x(o) = 9*o + 16. Let r(c) = 3*j(c) + x(c). What is 2*i(b) + 9*r(b)?\nAnswer: -2*b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18750 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*q = -83*q + 22990. Which is bigger: q or -1046?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (5\/2 - 3)*-818 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*x + 39*x. Let b(z) = -6*z**2 - 5*z + 44. Is 8 a factor of b(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/10 (b) 1 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 9*t**2 - 14*t - 18. What is the tens digit of o(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1854?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4 - 4*i**3 - 6*i - 7*i**2 - 5 + 3*i**3. Let x be f(-6). Let w be (-68)\/(-2) - (x + -1). What is the highest common divisor of w and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21931790 divided by 42586.\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 17*f**2 - 8*f - 9. What is the lowest common multiple of u(3) and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 817 and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -3. Let u = 16 - 11. Factor 4*k**q - 3*k**4 + k**4 - 2*k**4 + 2*k**u - 2*k.\nAnswer: 2*k*(k - 1)**3*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, r: 13}. What is prob of picking 3 r?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383 a factor of 19155933?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14763094 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-80)\/24*63\/168\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 5*m = -12. Let o(z) be the first derivative of 1 - 1\/3*z + 1\/9*z**m + 0*z**2. Determine d so that o(d) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 3 - (-8 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ioppippoyoodpy. Give prob of picking 1 p and 2 i.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 5*j**2 + 5*j + 6. Let u be f(6). Let l = -5 + u. Sort -4, -1, l in increasing order.\nAnswer: l, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73569*z + 73574*z - 2*z**3 - 147143*z.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1868, -2042, -2216, -2390, -2564, -2738?\nAnswer: -2912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274487634.\nAnswer: 2, 3, 1049, 14537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 216 by -39450.\nAnswer: -36\/6575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 35\/75 + (-4)\/6. Let w = 209.4 + -210.4. Which is the closest to 2\/5? (a) w (b) p (c) -2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 41*u - 37*u. Find the common denominator of ((-402)\/220)\/((-84)\/20 + u) and -13\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 2\/21, -12916019, 2?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 6*n. Suppose -3*j + 5*m = -0*j - 17, -m + 61 = 4*j. Let r be (-6)\/j + (-649)\/(-77). Let x(h) = 2*h + 12 - r - 4. Determine x(a(g)).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) - (sqrt(130) - ((-2*sqrt(130) - sqrt(130) - sqrt(130)) + sqrt(130))*5)) + sqrt(130))\/(-6*sqrt(40)\/sqrt(4) - sqrt(10)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7372 + 15149\/2. Let b(z) be the second derivative of 30*z + 0 - l*z**2 - 5\/12*z**4 - 15*z**3. Factor b(w).\nAnswer: -5*(w + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -40. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(((-3184)\/5572)\/((-1)\/(28\/(-40))))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aoagofoddooddgdyoay. Give prob of picking 1 o and 1 y.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*m**6 + 401019*m**3 - m**2 - 3*m - 400494?\nAnswer: -720*m**3 + 2406114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000066641453 to six dps.\nAnswer: 0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 6) in base 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92421 = 35*y - 15764. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -555840 rounded to the nearest 10000?\nAnswer: -560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*b - 46*b + 20*b + 13*b.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 12. Let w be j(7). Find the third derivative of a**2 - 2*a**5 - 3*a**w + 4*a**5 wrt a.\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 9\/4, 4, 5, 9?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 30.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 6*n - 9. Give j(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4103*l + 2934. Let m(x) = -4106*x + 2931. Let o(k) = -4*d(k) + 5*m(k). What is the derivative of o(p) wrt p?\nAnswer: -4118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 b when three letters picked without replacement from {r: 1, w: 2, b: 4, l: 3, o: 4}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -0.1. Let k = -0.4 - -0.4. Let t = 1 + k. Is n > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -1 (c) -2\/15 (d) -683337\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 594 and 9?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in sixty-two sevenths of a week?\nAnswer: 1488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 12) to base 11.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**5 + 205*w**4\/3 - 116*w**3\/3 - 1524*w**2 - 336*w = 0. What is w?\nAnswer: -4, -2\/9, 0, 6, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2903*p**2. Let l(f) = 2*f**2. What is l(m(t))?\nAnswer: 16854818*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 5\/63, -1647, 1, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 0.116026687?\nAnswer: -0.516026687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.2, -1\/4, -10\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uucuuuuiuuucqq. What is prob of sequence cu?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 32, -3, 0.5, -0.76 in increasing order.\nAnswer: -3, -0.76, 0.5, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 332901 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 0.061718?\nAnswer: 0.030859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4490 divided by 3343?\nAnswer: 4490\/3343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 1423?\nAnswer: 1423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 15 = 4*o - o, -12 = -2*o - w. Calculate the least common multiple of o and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 12 = -5*r, -r - 11 = 4*r + h. Let q be (15\/(-6))\/((-1)\/r). Let z be ((-15)\/(-225)*20)\/((-1)\/3). Which is smaller: z or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -727 - 33*h**4 + 3*h**4 + 9*h - 2*h - 35*h**4 wrt h?\nAnswer: -260*h**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 2*q + 2. Suppose 0 = -42*o + 41*o - 3. List the prime factors of q + o + 29 + 0.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13332 is divided by 442?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 450 (b) -1\/6 (c) -0.04 (d) 35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 235 + -112. Suppose -l - 85 = -4*r. What are the prime factors of r?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/2)\/(9\/(-6)). Suppose -5*q = 3 + 7, 3*u = 3*q + 3. Let k be u\/(4\/16 + -2). What is the second biggest value in g, k, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -793, -882, -1039, -1270, -1581, -1978, -2467, -3054?\n\"Answer: -s**3 - 28*s**2 + 2*s - 766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -995 >= -995?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2565701*f*l*m + 4130*f*l - 4*f + l*m**3 + 17*l*m + 6*l - 11 wrt m.\nAnswer: -2565701*f*l + 3*l*m**2 + 17*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-68)\/(-4) + (1 - -1). What is the second derivative of 7*l - 12*l**3 + l + j*l**3 wrt l?\nAnswer: 42*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2462 - 248?\nAnswer: 2213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -m - 0*m + 2*n, -5*m + 5*n = -15. Which is the nearest to -0.1? (a) -3 (b) m (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-259 - -302) + (-21 - 1)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/(-4))\/(1\/(-1)). Suppose p = 3*h - 2, 4*p - 1 = -2*h + 5. What is the second biggest value in -5, z, h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -163*i**2 + 8*i + 7. Let k(f) = -f**2 + f + 1. Let d(j) = -c(j) - 4*k(j). What is the tens digit of d(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.8753 + 0.1247. What is the second biggest value in 0.38, 0.2, t?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -13 + 5*n**2 + 13. Let u(r) = 11*r**2 - r + 3. Let v be u(-3). Let o(x) = x**2 + v*x - 105*x. Determine b(o(q)).\nAnswer: 5*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35781, 71417, 107043, 142653, 178241, 213801, 249327, 284813?\nAnswer: 320253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*g = 3*j, 1 = -j - 2*g. Solve 3*r + 4 = j for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*(-15)\/18*((-627)\/(-55) - 7)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.1 + 0.1. Let h = -1 + r. Suppose 10*s - 20*s = 30. What is the nearest to 0.1 in h, s, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 4*q**3 + 4*q**2 + 38*q - 8. Let w(m) = -m**3 + 17*m**2 - m + 27. Let c be w(17). Is s(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2042312 (base 5) in base 3?\nAnswer: 1201202022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**3\/3 - 44584*i**2\/3 - 29728*i = 0. What is i?\nAnswer: -2, 0, 11148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 > 10\/12471?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*l + 3*a = 49*l - 278, -3*l = a - 884. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3888, -15687, -35384, -62979?\n\"Answer: -3949*s**2 + 48*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 54 - 9c?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 344 = 130*h - 2878 - 1848 for h.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.8 + -2.1. Let g = 2.98 - -0.02. Let f be (-2)\/17 + (-168)\/306. Put f, t, g in descending order.\nAnswer: g, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -251*k - 3747. What is the remainder when 19115 is divided by t(-15)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2280812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -3 (c) -0.642 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17512606?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*l - 8*l - 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 186150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -103*w**2 + 2*w - 62. Let u(v) = 103*v**2 - 2*v + 54. Determine 6*t(q) + 7*u(q).\nAnswer: 103*q**2 - 2*q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**2\/7 - 2*l + 12\/7 = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2521875390.\nAnswer: 2, 3, 5, 84062513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*k - c, c + 1 = k - 2*c. What is the highest common divisor of 50 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 269 = -3*n, o + 112 = 3*o - n. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 6\/4)*2. Let q(s) = -5*s**3 + 2*s**2 - s. Let u be q(c). Let n be -4*(0 - -2)\/u. Which is smaller: n or 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1882 divided by 11\nAnswer: 1882\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8663870 by 4331935.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -9*s**2 - 8*s - 9. Let c = 13 + -16. Let v(g) = 5*g**2 + 4*g + 5. Let k(o) = c*y(o) - 5*v(o). Solve k(t) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -185.4 - -193. Let y = z + -7.4. Sort y, 2, 2\/95 in decreasing order.\nAnswer: 2, y, 2\/95","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.292752 plus 1121622?\nAnswer: 1121624.292752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 7*f + 14 + 6 + 9*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2616904 (base 12) to base 8\nAnswer: 34463224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 1\/4, 2\/3, 2697, -2\/3, -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -4*j**4\/3 - 2285038*j**3\/3 - 145038724760*j**2 - 27618128929693600*j\/3 + 13809173244176000\/3 = 0?\nAnswer: -190420, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2849 (base 15) in base 2?\nAnswer: -10000110101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of 1\/150*j**5 + 18*j**2 + 1\/5*j**3 + 0 + 0*j + 1\/15*j**4. Factor m(t).\nAnswer: 2*(t + 1)*(t + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + a - 3*a)*(-6*a**2 - 3*a**2 + 21*a**2)*(6*a**2 - 5*a**2 - 2*a**2).\nAnswer: 48*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 950964.\nAnswer: 2, 3, 7, 11321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggggggpggg. What is prob of sequence pg?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -123, -288, -655, -1296, -2283, -3688, -5583?\n\"Answer: -12*r**3 - 29*r**2 + 6*r - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 1 - 1) + -3 - 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -68751\/22 + 3124. Let p = -10\/1259 + -89229\/20144. What is the common denominator of p and x?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**2 + 216*j = 0 for j.\nAnswer: 0, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 6. Let c be (z\/(-1))\/1*-5. What is the highest common factor of 18 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -61 in -1\/4, 3, -1\/5, 4\/9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65.3505 millilitres to litres.\nAnswer: 0.0653505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 90*u - 874. Determine p(-79).\nAnswer: -1743","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 40702901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*u + 4*u + 85*u)*(286*u - 141*u - 149*u + 11).\nAnswer: -272*u**2 + 748*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - k - 1. Let o(d) be the second derivative of d**4\/2 + d**3\/6 + 2*d**2 + 817*d + 1. What is -4*i(u) - o(u)?\nAnswer: -2*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 7*t + 11. What are the prime factors of r(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16436*z + 807*z - 3870*z + 7615*z.\nAnswer: 20988*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -23*z - 7\/2*z**2 - z**3 - 1\/12*z**4 + 0. Let g = -5 - 0. Calculate d(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r**2 - 24601*r + 11152218 = 0. Calculate r.\nAnswer: 462, 24139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -78\/193 or -1?\nAnswer: -78\/193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -23*h - 12. Let u be a(1). Let d be 86637\/6 - (u\/(-10) - 4). What is d rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f + 3*f + 3*f)*(-20 + 21 + 17)*(-3 + 3 - 1 + (-4 - 1 + 6)*(3 - 2 - 3) + 4 - 3 - 3).\nAnswer: -90*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a microgram in nanograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20672*b + 20669*b - 41337*b - 76.\nAnswer: 4*b - 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 21 - 9 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -210*o - 114. Let d(n) = -n. Determine u(d(g)).\nAnswer: 210*g - 114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 765*h + 3100. Does 34 divide x(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 391177501 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 10:35 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = -8*z + 5*n + 24845, 3*z - n = -74567. Let s = -10362 - z. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 535 is divided by 134.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + 2682 + 27*c**2 - 2682.\nAnswer: 27*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h - 5*h + 24 - 24.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.66 - 0.1. Let c = -38 - -37.94. Let j = w + c. Sort -3\/5, 1, j in descending order.\nAnswer: 1, j, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 7)*(1234 + 231*d**2 - 1234) - 1 + d**2 + 1 in the form v + c*d + t*d**2 and give t.\nAnswer: 1156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5363053 (base 8) to base 13\nAnswer: -3b3325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000630231 to seven decimal places.\nAnswer: 0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 - 22*k + 22. Determine v(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 7832 = -x, 9*x - 15625 = 7*x + 3*y. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uypuunnpnp. What is prob of picking 1 y and 1 u?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130020 = -4058*r + 12338 for r.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4120 - 121*b**2 - 4120.\nAnswer: -121*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 12*c - 28*c + 8*c + 0 to the form y + m*c and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**3 - 3*p**2 - 6*p - 6. Let w(o) = o**2 + o - 1. Calculate -t(h) - 4*w(h).\nAnswer: -3*h**3 - h**2 + 2*h + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/4707 and 36\/5.\nAnswer: 23535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.040755013 rounded to 4 dps?\nAnswer: -0.0408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*a - 6*a - 8. Differentiate g**4 + 9 - a*g**4 + 17 with respect to g.\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(0 + 4\/6). Let b = -124.91 - -123.91. Sort 14, 1\/5, b, c.\nAnswer: b, 1\/5, c, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 - -47. Calculate the highest common divisor of c and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 7 - 13 = 0. Suppose -3*n + 12 = -0*n - b, 3*n = p*b. What is the remainder when 136\/10 - (-4)\/10 is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 121051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 408579.\nAnswer: 3, 136193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30109 + -2513. Suppose -21*h - u = -25*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -44, -186, -440, -818, -1332, -1994, -2816, -3810?\n\"Answer: -2*d**3 - 44*d**2 + 4*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(-2*sqrt(2)) + sqrt(7) + sqrt(21)\/(sqrt(15)\/sqrt(5)) - (sqrt(847) - (sqrt(847) - (-3 + sqrt(847)*-2))))**2.\nAnswer: 141*sqrt(7) + 15499\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2, 580, 1, 3, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**3 + 19*q**2 + 5*q - 34. Suppose h + l + 10 = 0, 0 = -4*h - 2*l + 843 - 881. Determine m(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-14) + (-54)\/(-378). Which is smaller: u or 70\/187?\nAnswer: 70\/187","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*i**3 - 4*i**2 + 18*i**2 - 14*i**2.\nAnswer: -22*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 115.5571966 + -115.4572. Let o = 0.03 + 0.07. Let x = o - u. Round x to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10008 (base 9) to base 8.\nAnswer: -14651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4 + 3*(-1 + sqrt(44)\/sqrt(4)).\nAnswer: -12 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**2 + 14985*g - 1005108 = 0. Calculate g.\nAnswer: 68, 4927","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 708247 times 0.3?\nAnswer: 212474.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a - 6 + 6 + (2*a + 3*a - 3*a)*(1 - 1 - 2) + 10*a - 7*a - 6*a.\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-14))\/((-30)\/14). Let o(c) = -53*c**2 + 5*c + 7. Let x be o(3). Let q be (-2)\/13 - 161\/x. Put q, r, 1\/6 in descending order.\nAnswer: q, 1\/6, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4687853 - -1?\nAnswer: 4687854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 0\/(-1) - 4. Let j be (-3 - 399\/6) + -1. Let l = j + 1265\/18. Sort l, c, 0 in increasing order.\nAnswer: c, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*r = 53*r - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*m - 9 = 0. Let b be 64999 - m*(-4)\/12. Suppose -h + 0*h = -b. Round h to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = s - 4*x, 2*s - 2 = -2*x. Is s equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -16. Let f(b) be the second derivative of -b**5\/20 + b**4\/3 - b**3\/2 + 5*b**2\/2 - b. Calculate f(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -59 + 82. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2424)\/(-320) + 16\/20 and -145\/198.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2212300 (base 4) to base 13\nAnswer: -4b1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2046 + -2045. Sort -299, -1, 0, n.\nAnswer: -299, -1, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -82.91944 and 90.\nAnswer: 7.08056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, n: 1, j: 1, g: 1, m: 1}. What is prob of picking 1 j, 1 n, and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3091444 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o - 1. Let k(j) = -8*j - 5. Determine -k(t) + 3*q(t).\nAnswer: 11*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**2 - 56*r + 392 = 0.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1027100 and 1200.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 3 + -21 + 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33398519?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 2*q + 13 = q, 4*q = -4*n - 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 377327\/44 + -8576. Find the common denominator of v and 13\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 93 - 1?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -121\/45 + 26\/9. Let x = -1579\/8 + 197. Let l = 526\/399 + 2\/133. Which is the smallest value? (a) x (b) l (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23247*-630.\nAnswer: -14645610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -41*j**4\/4 - 103*j**3\/3 - 18*j. What is the second derivative of f(d) wrt d?\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 - -23 - (-1 - -43 - (13 + -5))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**2 + d**3 - 6*d - d**2 + 4 + 0*d + 0*d**3. What is g(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1055146 - 1055146 + 81*w.\nAnswer: 81*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 23. Let c = s + 26. List the prime factors of (-392)\/(-18) - c\/(-54).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46573?\nAnswer: 46573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 1093 (b) -2\/3 (c) -2\/5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.2 + -0.2. Let c be (-10)\/25 - 104\/(-10). Let s be (-4)\/c + (-15)\/(-100). What is the second biggest value in 3, q, s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/5 (b) -4 (c) 3.74 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 477 or 468?\nAnswer: 468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 220*j - 68*j - 954*j to r*j + i and give r.\nAnswer: -802","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 1832*c + 16504. Let p be a(-9). Solve 21 = p*h + 149 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.4 (b) -26 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 350368089 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, 3\/2, 1, 0.2, 0.06?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -26754*s. Let y(t) = 6*t**2 - 2. What is y(m(i))?\nAnswer: 4294659096*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 2*q + 9. Let v be o(0). Solve 12 = 3*s + v for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1166, -1162, -1158?\nAnswer: -1154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -484 in -0.3, 2, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 377 a factor of 137982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m + 1. Let t(u) be the second derivative of -5*u**4\/3 - u**3 - 27*u**2\/2 - 9*u. Let l(p) = t(p) + 6*v(p). Differentiate l(g) with respect to g.\nAnswer: -40*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-10)*4*18\/96.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0*x = 3*x - 27, -2*x - 14 = -2*k. Suppose 15*u = -k*u + 20562. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**3\/8 - 81*b**2\/8 + 21*b\/2 = 0 for b.\nAnswer: -28, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1367?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*m**3 + 82*m**3 - 7*m**3.\nAnswer: 137*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4 - (7 - 4)) + 1 - 2) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*h + 3*h + h)*(-1 - 6 + 1 + (-3 + 1 + 4)*(-1 + 1 + 1) - 2 + 2 + 2)*(-10383 + 4980 + 4774) as r + j*h and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1877537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 673678234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-36) - (-58)\/(-12). Let k(h) = h**2 + 3*h - 17. Let f be k(3). Let i = 5.05 - 0.05. Which is the closest to f? (a) t (b) i (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 + 466 = -50*z - 5*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.99462ml to litres.\nAnswer: 0.07599462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 63, 64, 65, 66, 67?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14760.1 rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/6)\/(2\/2)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 18*o - 29. Let d be q(8). Differentiate 8 - 88*i + 4 + 238*i - d*i with respect to i.\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 27326 = c, -5*a + 38421 = -c - 7125. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003075619206 to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*((-2)\/(-4) + -1). Let l be (1 + 1)*(0 + w). Let d(n) = n**2 + 2*n - 3. What is d(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1334 = -39*f - 19*f for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from -34560310461.\nAnswer: -34560310460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14.3 - 55.7. Let a = k + 71. What is the closest to 1\/2 in 1\/3, -3, a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 9:23 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/4 + (-20)\/(-16). Suppose 0 = 3*k + 4 - j, 5*g = -5*k + 5. Which is the third smallest value? (a) g (b) -2\/3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6722549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10975001?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in decades?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/20)\/((-22)\/(-5) + -3)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22130 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 24 = o. Let h = o + -7. What is the remainder when 58 is divided by (-40)\/6*h\/(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/(-12))\/((-150)\/135))\/(1\/(-2)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4678 (b) 3 (c) -0.5 (d) 0.6 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -10*l**2 - 13*l + 21. Let f = -27554 + 27556. Determine h(f).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -217598991 - -0.141904.\nAnswer: -217598990.858096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-6)*(9 + -5). Suppose -4*k + 344 = -r*k. Is k a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000020622675 to 7 decimal places.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 67275.3867 rounded to the nearest 100?\nAnswer: 67300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b. Let o(z) = -109*z + 2 - 2 + 61*z. Suppose -5*n + 5 = 0, -4 = 2*q + 2*n + 2. Let k = q + 6. What is k*o(h) + 33*x(h)?\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 50032 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8596602, -17193197, -25789796, -34386399, -42983006?\n\"Answer: -2*q**2 - 8596589*q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) - (sqrt(190) - (-2*sqrt(190) - sqrt(190))))*5 + (-2*sqrt(190) - sqrt(190))*5)\/(5*sqrt(90) - (4*sqrt(50)\/sqrt(5) + sqrt(10))) + 5.\nAnswer: -3*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 107 + -107.156. Let a = b + 0.256. Which is smaller: a or 34?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 2*b = -1, -2*f - 5*b = -4042 + 4037 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 929333324.\nAnswer: 2, 232333331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 6444?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 15467726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 62683000 rounded to the nearest 1000000?\nAnswer: 63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/5)\/((o*o**5)\/o*o))\/(o**(1\/2))**25 assuming o is positive.\nAnswer: o**(-183\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5*p = 0, 7*x = 2*x + p. Suppose x*c = -c. Determine k so that 2\/9*k**5 + 0*k + 2\/9*k**4 + 0*k**3 + 0 + c*k**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11\/39 + -83\/156. What is the nearest to t in 5, 8, 0.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**22*a*a)\/a)**33\/(a**(6\/7))**(6\/31))**47 assuming a is positive.\nAnswer: a**(7739349\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8*5\/(-30))\/(4\/(-90)). Let q be (-290)\/t*1*-3. Suppose -x + 74 = -q. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 7:41 PM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2467508 + -119289.4?\nAnswer: -2586797.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 1 - -6) + 0. Let t be 2\/(-3) - (-34)\/6. Let r(h) = -4*h**2 - 377*h - 89. Let n be r(-94). Solve -o - n = -2*q, -2 = -6*o + p*o - t*q for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2*w**(-7\/4))**37 assuming w is positive.\nAnswer: w**(37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 10 = -3*n. Suppose 4*r = 3*r - n. Let u(y) = -1650000*y. Let f be u(r). What is f rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 1979*g + 1994*g + 1 = 0, -4*c + 4*g = 19 + 1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69 + 74. What is the tens digit of (-3 - -4)\/o + 856\/20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 1556 = -170. Is o a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 5*v**2 + 6*v - 1. Let l be a(6). Suppose 0 = 140*w - 153*w. Sort -2, l, w in decreasing order.\nAnswer: w, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.137 and -2379434.\nAnswer: -2379433.863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ree when three letters picked without replacement from nyeerneegnynnneneee?\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0.2, 96550040 in descending order.\nAnswer: 96550040, 0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 4*s + 45 + 3, -2*h + 36 = -4*s. Suppose d = -h + 14. What is the second derivative of -6*r**d + 2*r + 8*r - 12*r wrt r?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 2:21 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 11*b - 4. Let x be t(-6). Is 28 a factor of (360\/x)\/(2\/(-35))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1574 (base 8) to base 6\nAnswer: -4044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 530687\/162 - 3276. Let t = -3814\/3399 + 1\/1133. Calculate the common denominator of p and t.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14574)\/(-187033))\/((2\/11)\/(4\/10))?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - ((5 - 1) + -5 + 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44758559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33035 at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -2455, -3384 in decreasing order.\nAnswer: 1, 0, -2455, -3384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -513, -1122, -1703, -2250, -2757, -3218?\nAnswer: -3627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22060641352 - 412004537791229\/18676. Let m = u + -1\/2668. What is the common denominator of m and 77\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223922054 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 444 a factor of 1039848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13\/(-8) - (6 + 4)\/(-5). Is 0 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1383 times 63.1\nAnswer: -87267.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 42535932, 85071840, 127607748?\n\"Answer: 42535908*g + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2271 and 420683.\nAnswer: 95537.1093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of -2 - (0 + (-44 - -4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4*o - 4*o - o)*(1 + 0 - 2) - 1 + o + 1 - 3 + 3*o + 3)*(419*o - 46*o + 209*o) in the form p*o + l*o**2 + j and give l.\nAnswer: 2910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 793, 5, 4 in increasing order.\nAnswer: 4, 5, 793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - -3*(3 + -2). Suppose -w - 5*b + 3873 = w, r*w - 2*b = 3908. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58944.\nAnswer: 2, 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*j**3*o**3 + j**3*s**3 + 15*j**2*o**3*s**3 - j**2*s**3 - 3*o**2 wrt o.\nAnswer: 18*j**3 + 90*j**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 11*m - 2. Let r be b(10). Let i = 15 + r. Is i >= 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 7*j + 4. Let f be z(-5). Let s be (27\/2)\/(f\/(-8)). Solve -b + 2*t - s = -5*b, -3*t + 9 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o + 2 + 70705*o**2 - o**3 - 70906*o**2 - 18*o)*(-1 + 6 - 1).\nAnswer: -4*o**3 - 804*o**2 - 56*o + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1296\/1512*(-15)\/(-10)*-14\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*u + 180*u + 1848 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 10:52 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261*h + 266*h - 5 = 0. Which is the nearest to -9? (a) 0.1 (b) h (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1919876.1 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3072*x - 6136*x + 3076*x.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 171 - 111. Suppose 2*i = -o, o - 12 = -o + 2*i. Let c be o\/(-6) + 74\/3. Calculate the highest common divisor of h and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + f + 578, 4*f + 7 + 1 = 0. Let v = -96 - o. Let i = v + -2. Calculate the remainder when 321 is divided by i.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 490?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200445 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = -4*x + b, x = -2*b + 2569 - 2572 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 4*a**7\/7 - 2*a**3 - 6. Find the third derivative of u(c) wrt c.\nAnswer: 480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -4*g**2 + 3*g - 3. Suppose 9 = -3*i + 15. Calculate a(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12914, -50697, -113352, -200879, -313278?\n\"Answer: -12436*o**2 - 475*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -762219 + -0.7\nAnswer: -762219.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6054 (base 8) to base 16\nAnswer: -c2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29131?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 g when three letters picked without replacement from suzzegsegezeszgeeze?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*h + 4*l = 15*h - 37, -2*l = 6 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1798 and 2?\nAnswer: 1798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**7)\/(k*k*k\/k**(-5))*(k**3\/k)\/((k*k*k\/(k**(1\/2)*k))\/k))\/(k**0*k*k**(-3\/5)*(k**(-1\/4)*k)**17) assuming k is positive.\nAnswer: k**(-233\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2600000947?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109 - 108 - (0 - (-1 - -2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 j when four letters picked without replacement from xlxxlljlljljjxllx?\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 1. Let v(z) = 24*z**3 + z**2 + 2*z. Let b(j) = -k(j) + v(j). Determine b(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 56\/84 - (-1 + (-62)\/6). Let r be 69\/u + (-18)\/24. Solve -r = 3*c - 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1924068 - -176.8?\nAnswer: -1923891.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 225, 591, 957, 1323, 1689?\n\"Answer: 366*n - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 98360210 rounded to the nearest 1000000?\nAnswer: 98000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13421? (a) -0.058 (b) 1\/5 (c) 4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 122*s - 1093. Calculate k(-112).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.015 rounded to three dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, -2\/11, -4, 235\/177, -0.1?\nAnswer: 235\/177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 4*w - 4*k = -484, 584 = -5*w - 2*k. Let r = w + 170. Calculate the smallest common multiple of 32 and r.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (-8 - (2 + -3)). Let s = 12 - w. What is the remainder when 82\/5 - 2\/5 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*u - 45, -4*k - 36 - 42 = -3*u. Calculate the highest common factor of u and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-6) + 4\/(-8). Suppose n - 926 - 2191 = g. Suppose 0 = -3*k + 6*k - n. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 12. Let q(v) = -7 - t + 9. Let g(s) = 2*s - 3. Let j(x) = -g(x) + 4*q(x). Differentiate j(d) with respect to d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**6\/60 + 7*u**4\/8 + 14*u**3\/3 - 6*u**2. Find the first derivative of t(j) wrt j.\nAnswer: -6*j**2 + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-34)\/(-1275))\/((-384)\/2304).\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 660171.853 to the nearest one thousand.\nAnswer: 660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 1492 = -q, 4*w - 2986 = -3*q - 0*q. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4*(sqrt(2) - (sqrt(242) - (-2 + sqrt(242))**2) - sqrt(18)*-1).\nAnswer: -204*sqrt(2) + 986","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/9*(-1 + 5 - 3)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*a = 242*a - 524 + 97 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 10 = -0*r. Calculate the remainder when r is divided by 16\/(-6)*(-3)\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 200 - 195. Let v be (3*m\/(-70))\/((-9)\/69). Which is smaller: v or 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000079855 rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*c - 42*c - 2573034 = -68*c. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 42.9592 (b) -1\/7 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -9*u**5\/5 + 11*u**2\/2 - u. Find the first derivative of k(i) wrt i.\nAnswer: -108*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -53148, -53146, -53144, -53142, -53140?\n\"Answer: 2*q - 53150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -19*h**3 - h**2 + 2*h - 4. Let f(g) = 76*g**3 + 4*g**2 - 9*g + 17. Give -2*f(l) - 9*i(l).\nAnswer: 19*l**3 + l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of 0*a**6 + 0*a**4 - 10*a - 5\/42*a**7 + 7\/6*a**3 + 0*a**2 + 0*a**5 + 0. Find the second derivative of n(j) wrt j.\nAnswer: -100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -995? (a) 0.3 (b) -0.147 (c) 2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5628240.\nAnswer: 2, 3, 5, 7817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 - 21. Suppose f - 14 = -98*k + 99*k, 3*k + 15 = 0. Calculate the remainder when f is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -142 - -74. Let w = -67 - d. Is w at least as big as -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-23 - 0) + 3 + -7. Let v = 28 + r. What are the prime factors of v\/(-3) + 1603\/21?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 54?\nAnswer: 54.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 4) + 790\/300 - 156\/520?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -555*y = -551*y - 224. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -8*b**2 - 38*b - 128. Let i(q) = -q**2 - q. Suppose 5*t = -15, 2*g - 4*t + 7*t = -21. Let m(n) = g*i(n) + r(n). Factor m(w).\nAnswer: -2*(w + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**4\/12 + 4*i**2. Let k(s) = 15*s**2. Calculate k(t(y)).\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.74 and -4.9?\nAnswer: -3.626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -855 (base 9) in base 11?\nAnswer: -585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000051991 rounded to six decimal places?\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qlttrmrrorllrlqrr. What is prob of picking 2 l, 1 m, and 1 r?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 205, -2, 5, -0.1, -2\/47?\nAnswer: 205","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0423103 - 0.137675. Let k = l + 0.18. What is k rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2.65442 (b) 2 (c) 0.2 (d) -0.1 (e) -2 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(5\/4)\/((b\/(b*b**(-3)*b))\/b)*b*b**(-5)*b*b*b**(-1) assuming b is positive.\nAnswer: b**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 4:07 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5346 + 7730. What is the hundreds digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m + 19*m = 8. Let w(y) = m*y**2 - 23*y + 12*y + 11*y. Let r be w(-1). Solve 0*u + r*u = -2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -118\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186300 = 69992*a - 72062*a for a.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) 4\/225 (c) 8 (d) -457\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33485356)\/5566283 - (64\/(-10) - (-2 + (-16)\/(-10))).\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179 = -11*j - 217. Suppose 0 = 3*v - 9*v + 6. Is (3*(-20)\/j)\/(v\/141) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18413638?\nAnswer: 2, 1399, 6581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21741300 * 3.\nAnswer: -65223900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 33 - (-2 + -1)*1. Suppose 4*x = -r - 6, -4*r + 0*x - 4*x + k = 0. What is the remainder when r is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*c + 6 = 0. Solve -2*s - c*s - 17 = g, 7 = -2*g + s for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 3, 9, 7, 1 in decreasing order.\nAnswer: 9, 7, 3, 1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (544 + 708 - 927)*(-f**2 + 2*f**4 + f**2) + (3*f**4 - f**4 - 3*f**4)*(-1 + 1 - 1).\nAnswer: 651*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*-2*-2 - 4*(sqrt(171) + sqrt(171)*3))\/((sqrt(576) + -5*sqrt(576))*-4 + sqrt(576)).\nAnswer: -3*sqrt(19)\/34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 47071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41.2 - 41. Let c = 1.1 + -1.9. Let d = n - c. Is d not equal to -0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52607.25 milliseconds to hours.\nAnswer: 0.014613125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 116639\/42 - 2777. Let w(a) be the third derivative of 18*a**2 + 4\/7*a**3 + 0*a - n*a**4 + 0 - 1\/105*a**5. Factor w(v).\nAnswer: -4*(v - 1)*(v + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**4 + 141*m**3 + 309*m**2 - 13929*m - 27918 = 0. Calculate m.\nAnswer: -9, -2, 11, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.72 + 0.58. Round a to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2735 and 150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12.852, 0.5, 1, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppppqbqpqqbqbb. Give prob of sequence bqqb.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**5\/4 - 2013*d**4\/4 - 435213*d**3\/4 - 29328591*d**2\/4 + 30763254*d - 23321799 = 0. Calculate d.\nAnswer: -262, -151, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55)*-1*-5)\/sqrt(11))**2 - ((sqrt(25)*-1)\/sqrt(5) - sqrt(5) - sqrt(60)\/(sqrt(12) + sqrt(108)))**2.\nAnswer: 1595\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**3 + 56*r**4 - 2*r - 27*r**4 + r - 7*r**2 - 30*r**4 to the form i*r**4 + l*r**3 + h + b*r + s*r**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/2933048 > -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 4*m + 2. Let o be w(-4). Suppose -7 + 47 = 5*r + 5*u, 0 = 2*r - o*u. List the prime factors of -88*(0 - r\/8).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34997 is divided by 17190?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9887631650 + 3*r**2 - 9887631650.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*v = -102 + 79 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x + 2680 = 2713. Solve 3*z = x*k + 18, 3*z + 5*k = -11 - 11 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - i**2 - i**2)*(5 - 5 + 1) + (i + 2*i - i)*(194 - 194 - 23*i) + (i + 3*i - 5*i)*(i + 0*i + i) + 0*i - i**2 + 0*i - 3*i**2 - i + i.\nAnswer: -53*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 v when two letters picked without replacement from bhyuuvkv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-one quarters of a century?\nAnswer: 15300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1191 + 1189. Let n = 183 + -186. What is the third biggest value in -0.3, v, 6, n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**5*t**7*t**(2\/11)*t**(2\/11)\/t assuming t is positive.\nAnswer: t**(125\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/12 and 131\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o + 15. Let t be j(-13). Suppose -3 = s + 2, 0 = t*p - s - 1. Is -1 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - 4*i + 2*a + 534, a = -3*i + 408. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z - 5. Give w(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g - 6. Determine v(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -135 - -137. Suppose 4*f - 14 = -2. Solve 0 = f*z + 2*z - i, z = -g*i + 11 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o + 2. Let n be t(-6). Let k be n\/18 + (-6)\/(-27). Let c = -5833\/17 - -343. Sort 0.1, c, k in descending order.\nAnswer: k, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/190 and -59\/148.\nAnswer: 14060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 5*p + 6*y - 598, 0 = 5*p + 5*y - 590. Calculate the smallest common multiple of p and 54.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245799?\nAnswer: 3, 31, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*i + 19*i - 3*v - 19309, -4*i = 4*v - 19288. What is the greatest common factor of i and 772?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*f + 4494 = -374, 0 = -5*f + 5. Does 4 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 789*j + 3155. Let f be q(-4). Let h = 4.9 - 5. Which is the nearest to 0? (a) -5 (b) h (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000649 to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -384*l = -280*l + 233 + 495 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12 - 1\/((-18)\/(-4) - 4). Suppose -3118 = o*a - 17178. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a decade?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w + 13. Let m be n(-11). Solve -10 = m*v + 3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 3 = -4*a - 11, 5*f - a = 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 214*f**2*i + f*i**2 + 2212*i**2 wrt f.\nAnswer: 428*f*i + i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 12 = 4*j, 2*t + 2*t + 14 = -2*j. Let r(s) = -s**3 + 2*s**2 + 6*s + 3. Let l(z) = -z**3 + z**2 + z + 1. Let a(m) = -4*l(m) + r(m). Give a(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233*i = -248*i + 31830. Suppose 1838 = 5*x - i. What is the hundreds digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -3. Let d be -4*8\/(12\/3)*(-1)\/(-6). Which is the second smallest value? (a) d (b) z (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(1\/5))**(-8\/9)\/(m**(1\/5)\/m*m\/(m*m**(-3\/11)\/m)) assuming m is positive.\nAnswer: m**(-1202\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 - 370 = -6*j. What is the greatest common factor of 24 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 17*s**2 - 41*s - 785. Let q be u(-16). Solve q*c - 122*c = 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 240*b - 1117. Calculate r(5).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -579780*z + 15 = 3*f - 579784*z, 0 = 2*f + z + 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.73587 years in decades?\nAnswer: 6.473587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -5. Suppose -2*i + l = -7*i - 5*m, 4*m = -8. What is the tens digit of (0 + i)\/((-2)\/(-66))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: -a085b5 (base 12) to base 7\nAnswer: -30163244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**3 - 45*z**2 - 108*z = 0.\nAnswer: -12, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2746 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0. Suppose 5*a = 4*l, a + 2*l = 4*a - 2. Solve -a*o = -t*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 8*n**2 - 7*n - 4. Calculate g(-9).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1401439041 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 + 5 = -3*g. Suppose -2*i = i - 5*q - 9, -4*q + 3 = i. Suppose 5*l + g = x, 2*x - i*l - 12 = l. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -91.4 times 0.3\nAnswer: -27.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1932*h**2 - 80015*h**2 - 9*h**2.\nAnswer: -81956*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 + 16 - 9) + (-5 - 3) - (45 - -49)?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -0*f - 159. Suppose 0 = -3*o - z - z + f, -z = -o + 11. What is the highest common divisor of 75 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**2 + 37*o - 2*o**2 + 7*o.\nAnswer: 2*o**2 + 44*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -15 - 1 - (-1566 + 1566)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1373?\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1176 (base 15) in base 8?\nAnswer: 7177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -358 and -2496\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-10 + 0)*((-24)\/(-54) - (-13897)\/(-31005))\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**4\/9 - 130*a**3\/9 - 118*a**2\/9 + 634*a\/9 - 128\/3 = 0. What is a?\nAnswer: -64, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 8:56 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 2*b = 19, 3025*q - 3026*q = -b - 17 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 777503 is divided by 18078?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 9) to base 12.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84174655.\nAnswer: 5, 19, 191, 4639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 7*g - 9. Calculate l(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 815 * -10.375.\nAnswer: -8455.625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 3*j - 9, -5*j - 10 = -2*l - 26. What is the closest to l in -3\/2, 3, 3\/8?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -593 and 23.\nAnswer: -13639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f**3*l + 2*f**3 + 258*f*l - 21*f - 11*l - 2315 wrt f.\nAnswer: 6*f**2*l + 6*f**2 + 258*l - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**3 + 30 - 541*v + 35 - 89 + 24 as k*v**3 + c*v + l*v**2 + p and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5*i - 2. Let u(g) = 4*g - 4*g + 1 - 2*g. Suppose 3*q + 32 = 4*b, -3*q - 3*b - 2*b - 14 = 0. What is q*u(p) - 3*h(p)?\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7806, 31219, 70240, 124869, 195106?\n\"Answer: 7804*f**2 + f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -8*u**3 - 122*u**2. Let j(r) = -4*r**3 - 62*r**2. Calculate 7*j(i) - 4*m(i).\nAnswer: 4*i**3 + 54*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.3803495 to 2 dps.\nAnswer: -6.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - 1 - 4\/2. Let w(o) = -o**3 + 8*o**2 + 3*o - 17. Let x be w(8). Let p be ((-6)\/8)\/(21\/x). Which is the closest to p? (a) 1\/7 (b) -2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 2*c**2 - 2*c + 2. Let b(n) = -2*n**3 - 3*n**2 + 3*n - 1. Let a(z) = 2*b(z) + 3*l(z). Find the first derivative of a(g) wrt g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4 = a, 4*n - 5*a = -0*n + 2. Let o = -4717 - -4738. What is the closest to -2\/3 in o, -0.2, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/5 (b) -6 (c) 4\/9 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*d + 13 - 6*d + 6 - 7.\nAnswer: -22*d + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**3 - 3*p**2 - 5*p - 10. Let m be z(-2). Suppose 3*u = 3*y + 2 + 16, m = 2*y. Calculate the highest common divisor of 72 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.017 - 0.193. Let v = g - -0.51. Which is the third biggest value? (a) -0.5 (b) v (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**3 - 217*p**2 - 299*p + 2353. Calculate f(-107).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3253835 a multiple of 443?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5*(1 - 0\/(-2)). Let j = 57 - 60. Sort d, j, -2 in increasing order.\nAnswer: d, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {i: 3, t: 11}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1318)\/(-18) + (-2 - (-32)\/18). Find n such that 53*n**4 - n**4 - 4*n**5 + 100 - 305*n**3 + 424*n**2 + i*n**3 - 340*n = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15.7 + -15. Let w = -22 + 4. Let o = w + 19. Which is greater: o or p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-13)\/390)\/((-1)\/(-4)). Let k be 2\/(-3) - 75\/(-99). What is the second smallest value in k, m, 0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.02 or 80187?\nAnswer: 80187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 121 and 2006488.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.6515 + -0.662. What is k rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3967, -3, -4, -5, -8, 2 in increasing order.\nAnswer: -3967, -8, -5, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -34, -48, -62?\n\"Answer: -14*u - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (482*c - 178*c + 321*c)*(7*c**2 + 2*c - 2*c) in the form m*c + b*c**3 + n + q*c**2 and give b.\nAnswer: 4375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(320\/(-15))\/16?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 (base 5) in base 7?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 70422439?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = -2*h + 6*p + 1332, -h - 5*p = -675. Let c be 188\/342 - 7*10\/h. Do c and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -2. Let a = 5 - t. What is the third biggest value in -5, 4\/3, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1327931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2296*u - 2295*u - 15627 = 0. What are the prime factors of u?\nAnswer: 3, 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1317400915 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + (sqrt(11) + (sqrt(11) - (sqrt(11) + 1)))**2*-2 + (3*(sqrt(11) + sqrt(132)\/(sqrt(24)\/sqrt(2))))**2).\nAnswer: -1870 - 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t**2 + 7*t - 25 + 2*t + 21 - 5 as b*t**2 + v*t + u and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -93327, -95626, -97925, -100224, -102523?\n\"Answer: -2299*r - 91028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/5)*h\/h**(2\/11))\/(((h*h**(2\/3))\/h)\/(h**(-11\/2)*h)) assuming h is positive.\nAnswer: h**(-1501\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tzl when three letters picked without replacement from tzzmmld?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -7*o + 31. Let z be s(4). What is the closest to 0 in z, -2\/5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/4)\/(1729\/494).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 112\/(-18) + 2\/9. Is -6 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**5 + 187*a**4 + 13563*a**3 - 2*a**2 - 2*a - 61502 wrt a.\nAnswer: 120*a**2 + 4488*a + 81378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 7*b + 121. Calculate the smallest common multiple of x(-13) and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 219 - 98. Suppose -n = -w + 32. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -14 + 13 + (-14)\/(-2). Suppose -3*l - 4*y = -z*l + 32, -34 = -5*l - 3*y. Let u = l - 12. Let h(m) = -m**3 - 4*m**2 - m - 2. What is h(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**2 + 20*q - 18. Let c be t(1). Solve -6 = -3*y, -c*u - 4*y - 2 = -25 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50 + -50.5. Let b = 2005 - 2098.7. Let t = b + 94. What is the smallest value in t, d, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 9881?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-144)\/(-28) - (-156)\/(-91)?\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15914 (base 10) to base 4.\nAnswer: -3320222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/(-80) - (-6)\/10 and -33\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3163756521\/3972823270 - -2\/2899871. Let q = 1\/274 + m. What is the second biggest value in 0.3, -0.1, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 6*b + 3. Let o be m(-5). Let n = 68 - o. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 5*k + 4*g + 4 = 0, k + g = -1. Let p(l) = 5*l - 3. Let s(b) = 4*b - 2. Let d(f) = -3*p(f) + 4*s(f). What is d(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 135.11 - 135.21. Is q less than or equal to -311.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 2*k + 3*m + 16, -2*k + 12 = -4*m. Let h = 275 - 2471\/9. Factor 0 + 2\/9*r**k + h*r.\nAnswer: 2*r*(r + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.4 + -1.53. Let d = -0.27 + r. Put 5, -0.3, d in ascending order.\nAnswer: d, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + 89)*1 + (-48)\/(-24) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/15 (b) -1\/6 (c) 0.1 (d) 0.6 (e) 4 (f) -27\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44412278, 44412272, 44412266, 44412260?\nAnswer: 44412254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i**3 - i**3 + 0*i**3)*(-58148 + 1476*i + 58148 + (-1 + 1 - 2)*(2*i + i - i) + i + 3*i - 2*i) as h*i**2 + z*i**4 + q*i**3 + o*i + v and give z.\nAnswer: -1474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8*2\/20)\/((-14)\/(-15))*21.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.06 - 0.06. Let p = -0.3 - 0.2. Let x = -1.2 + 1.1. Which is the second smallest value? (a) p (b) y (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.048 - -0.041. Let r = -0.00698 - d. Round r to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 65 = 95. Suppose -l = -3*j - j. What is the lowest common multiple of j and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233297021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1416 and 441314808.\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**2 + 16*k + 32. Let s be g(-2). Put -2, -4, s, 2 in increasing order.\nAnswer: s, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1770 and 50?\nAnswer: 8850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 3*c - 9, -5*s - 2*c = -3*c - 21. What is the remainder when 84 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 361651573*l**2 - 874841146*l wrt l?\nAnswer: 723303146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 + 75 = -26*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*y**2 + 2*y - 20*y - 1 + 5*y + 2*y**4 + 9*y to x*y**3 + a*y**2 + w*y**4 + f*y + h and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -4*d + 77, 9*k + 77 = 5*d + 10*k. What is the remainder when 213 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*b - 156*b + 307*b = -1344 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 75 - 54. Solve -5*l + f = -w, 4*l + 4*f = l + 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w + 43. Let l(r) = 6*r + 267. Let h(i) = -2*l(i) + 13*x(i). What is h(0)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -269, -1, 357 in decreasing order.\nAnswer: 357, 5, 2, -1, -269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 4*k - 47, c + 4*k + 19 + 0 = 0. Let j(r) = -12*r + 3. Let z(m) = -24*m + 7. Let d(p) = 9*j(p) - 4*z(p). Is d(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - (7 - 9) - -41) + -8?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 4*w - 285 = 0. Let t = -23 - w. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vll when three letters picked without replacement from lvlvv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 12\/33*(-165)\/(-180)*6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 308824\/17351 or 19?\nAnswer: 308824\/17351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 2*x - 300 = 0. Suppose 4*a + a - x = 0. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -13.02. Let c = -0.12 - z. Let x = 3.7 - 0.7. What is the nearest to c in -2, 1\/2, x?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 27329814 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3\/3127 + -15617\/18762. Which is the smallest value? (a) -0.4 (b) -1.6 (c) w (d) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 0.0384.\nAnswer: 0.0384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 67\/4 or 17?\nAnswer: 67\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 53? (a) 3 (b) 0 (c) -5 (d) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1945608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**3 + i**2 + 2*i. Let c(l) = -4*l**3 - 2*l**2 - 4*l. Give 3*c(m) + 5*p(m).\nAnswer: -2*m**3 - m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-3))\/(49250\/709200)?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of p**5\/240 + 11*p**4\/48 + 7*p**3\/8 - p**2\/2 - 16*p - 11. Let b(h) be the second derivative of n(h). Factor b(y).\nAnswer: (y + 1)*(y + 21)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5*f - 0*j - 138, 5*f + j + 132 = 0. Let u be f\/18*2\/3. Let y = 31 + u. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*(3 + -74 - -1). What is the highest common factor of v and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 97 and 29.2?\nAnswer: 67.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 21 = 5*q, n - 3*n = 3*q + 5. Suppose u + w - 9 = 0, w + 9 = n*u + 3. Solve 45 = -4*p + 5*j, 0*p - 4*j = 3*p - u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 5)*(2679 - 5623 + 2519)*(2 - 4 + 1)*(-4*r + 2*r + 6*r) to p*r + y and give p.\nAnswer: 3400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/2 and -55\/22362?\nAnswer: 22362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*z + 7*z + 6*z)*(-1 - 1 + 3 + (-4 + 1 + 1)*(-1 + 3 + 0)).\nAnswer: -72*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 7 + 4)*(-20*j + 24*j + 13*j + 16*j).\nAnswer: 363*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -f**3\/3 + f**2\/2 - 2*f + 14. Let k(m) = -m**2 - 4*m. Let a be k(-4). Calculate o(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72720, -72744, -72804, -72918, -73104, -73380, -73764, -74274?\nAnswer: -74928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/27*21*(-36)\/42?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0*l = -2. Let y = 3 + l. Suppose -2*b = -4*n - 26, 0 = 4*b - y*b - 3*n - 29. What is the remainder when b is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-1) + (167 - 151)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10847835 is divided by 5498?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10464 and 50704620?\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.04 (b) 4 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -242243, -484482, -726721, -968960, -1211199, -1453438?\nAnswer: -1695677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 2*j - 21. Let m be d(4). Let i(p) = 6*p + 0*p + 19 - m*p - 23 + 16. Let c(a) = -6*a**2. Give c(i(f)).\nAnswer: -54*f**2 - 432*f - 864","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 1. Suppose -u*w + 10 = 0, -4*w = -0*f - 5*f. Find the third derivative of 3*a**5 - 4*a**5 + f*a**5 + a**2 + a**2 wrt a.\nAnswer: 180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbdmdoad. What is prob of sequence mo?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 - w - 12. Let n(c) = -c. Let i(u) = n(u) - r(u). What is the tens digit of i(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**2\/3 - 146*m + 436\/3 = 0 for m.\nAnswer: 1, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 2 + 3)*(2*x - 2 + 2) + 30*x - 16*x - 8 - 15*x)*(455 - 455 - 36*x).\nAnswer: 108*x**2 + 288*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, a: 1}. What is prob of sequence ff?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 54 + -2 + 0\/2. What is the units digit of ((-6)\/(-4))\/(6\/u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(-6))\/(2\/18))\/(178386\/(-9148))?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 12*a - 4*a - 15)*(4*a**2 + 0*a**2 + 0*a**2).\nAnswer: -64*a**3 - 8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*d - 2 - 1 - d + 1 + (3 - 1 + 0)*(0*d - 2*d + 0*d) + 3*d - 4*d + 0*d + 3*d - 6*d + 5*d + (-2*d - 1 + 1)*(5 - 4 - 2).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 15. Let u = -17 + r. Let p = 11.5 + u. Which is the third smallest value? (a) p (b) 0.3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.20794 rounded to 3 dps?\nAnswer: -0.208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-10) - (-8)\/20. Suppose v = 2*l + l - 231. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 24*n = -23*n - 398, -27 - 184 = -k - 41*n + 25*n for k.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - 144 - (15 + -58).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 - 2 - (-1158 - -1174).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -187*o**5\/60 - 133*o**3\/6 + 80*o**2 + o. What is the first derivative of g(d) wrt d?\nAnswer: -374*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -6 + (-11 - 8).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, 3\/5, -1\/7, -0.1, 0.2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -389 - 2*l - 392 + 785.\nAnswer: -2*l + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -110 - -114. Factor 111*a**j - 114*a**4 + 36*a**3 - 17*a - 27 + 101*a - 90*a**2.\nAnswer: -3*(a - 9)*(a - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2125 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45091?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2143328?\nAnswer: 2, 11, 6089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*f = 111*f, -2*f - 12805 = -k. Does 11 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 205188.0529911416148 + -0.0529887416148. Let j = p - 205186. Let l = j + -2. Round l to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 2, -15 in decreasing order.\nAnswer: 2, -1, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 53582.53mm?\nAnswer: 5358.253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 93282691 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1303 (base 6) to base 16\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1428 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8008914?\nAnswer: 2, 3, 1334819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/108368 and 107\/160?\nAnswer: 1083680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9088, 19388, 29688, 39988, 50288?\nAnswer: 60588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 842 and (12 - (-77)\/(-7))*8?\nAnswer: 3368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24608331 divided by -11?\nAnswer: -2237121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*d**4 + 2080*d**3 - 2*d + 832454 wrt d?\nAnswer: 36*d**3 + 6240*d**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.05979 - -0.18979. Which is the nearest to 3? (a) r (b) 0 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-4))\/((-2)\/8). Suppose -12 = 3*k + 3*g, -6*g + h*g = -k + 21. List the prime factors of ((-14)\/(-4))\/(k\/2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3297202 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-876)\/35040*1*(-1)\/(-1))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -69825, -69823, -69821, -69819?\n\"Answer: 2*u - 69827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 21\/9 - (-3)\/(-9). Let j = x + 7. What is the remainder when 25 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u - 8. Let c(x) = -6*x + 29. What is c(s) + 5*k(s)?\nAnswer: -s - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -101, -4, -3 in ascending order.\nAnswer: -101, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/18 and 41\/19166.\nAnswer: 172494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/(-21)*(2 + -8). Which is the nearest to 3? (a) l (b) 2\/13 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 + 31.2. Let w = 1.9 - 1.87. Which is the closest to 1\/4? (a) 1 (b) k (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -727 >= 1.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u + 6. Let d(w) be the first derivative of w + 19. Calculate 5*d(l) - x(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -440*j**2 - j + 1. Let x be u(1). Let i = -310 - x. Suppose 0 = -y - y + i. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 15. Let z(p) = 2*p**3 - 3*p**2 - 3*p + 2. Let i be z(y). Find c, given that 1\/4*c - 1\/8*c**2 + i = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (8 - 1)\/(1\/(-396)*-6) + -4 is divided by 143?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9a9 - -3?\nAnswer: 9ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*f**3 + 151*f**3 + 64*f**3 + 1 + 62*f**3.\nAnswer: 208*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1488\/(-2340))\/(-62)*-15?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -291.7972 - -249.8. Let v = l + 42. Round v to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37 - -103. What is the remainder when s is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -2\/7 (b) -47383\/3 (c) -8 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4.8 and -89.8.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34742\/2784 - (-1 + 13) and -65\/582.\nAnswer: 4656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1020 - -167. List the prime factors of g.\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 275334433 and 2354.\nAnswer: 1177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 5*k + 39, -5*k = 4*f + 5 - 2. Is f at least as big as -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-6)\/144*2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38057 - 111044 = -5*n - a, 89481 = 3*n + 4*a. Is n a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 804 and 347596.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 987296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b + 10*b**2 + 2 - 1 + 14*b**2 - 23*b**2. Let z be -1 + (-4 - 3) + 4. Let h be -1*(-10)\/(-4) + (-2)\/z. Let j(f) = -2*f + 2. Give h*v(m) + j(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 11*f - 36. Let t be k(13). Let z be ((-36)\/(-30))\/((-3)\/t) + 9. Let o(r) = -2*r + 13 - 10*r - z. Let j(v) = v**2. Determine j(o(b)).\nAnswer: 144*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 20274615 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1484*k + 47*k**2 + 1484*k.\nAnswer: 47*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -3*b + 6, 4*b - 9 = 3*v + 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -y**6\/120 - y**5\/15 + y**4\/24 - 5*y**3\/6 - 8*y**2. Determine t(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9688108 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-5))\/(q**(-2\/5)\/q)*(q*q*q**7)**(-1\/52))**(4\/11) assuming q is positive.\nAnswer: q**(1879\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*x + 4*x = 102, 2*x = 2*d + 36. Let m be 34\/187 + (-1250)\/d. What is the highest common divisor of 76 and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1354052592 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnazznznnnzzza. Give prob of picking 1 z and 3 n.\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -602 (b) -543 (c) -1 (d) 3\/2 (e) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/7, 0, -0.18, -14, 0.5, 1\/10 in descending order.\nAnswer: 0.5, 1\/10, 0, -0.18, -6\/7, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus -361764795.35396?\nAnswer: -361764795.05396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -52. Suppose -1722 = -7*s + 630. Calculate the greatest common divisor of s and f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 149.0017kg?\nAnswer: 149001700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 8 = -6*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 2*s - 2*s)*(2*s - 2*s - s**2) + s - s + s**3 + s**3 - 4*s**3 + 2*s**3 + s**3 - 2*s**3 + 5*s**3 + (0*s - 2*s + 7*s)*(-5*s**2 + 5*s**2 + s**2).\nAnswer: 11*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 12:02 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*n - 2*n - 3*n)*(3 - 3 - n**2) + 7 - 7 + 11*n**3 + (-3*n + 3*n - 2*n**2)*(0*n - 23*n - 27*n) to the form d + h*n**3 + k*n + s*n**2 and give h.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (166 - 60 - 60) + 12.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -36 + 2*g**4 + 221*g**3 - 2*g**2 + 0 - 223*g**3 in the form y + z*g**2 + q*g + o*g**4 + s*g**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/3861 and 89\/12.\nAnswer: 15444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + 2*i**3 + 0*i**2)*(i + i - i) + 0*i**2 + 498*i**4 + 0*i**2 - 565*i**4.\nAnswer: -65*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 7:42 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*n**3\/11 - 454*n**2\/11 - 114*n\/11.\nAnswer: 2*n*(n - 57)*(4*n + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*t - 25. Suppose 3*l + 2 = -t*d + 9, -3*l = 4*d - 8. Let b be (-5 + 13 - l)*5\/18. Which is smaller: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -74428*k*l**2 + 2*k*l - k - 3*l + 2415 wrt l.\nAnswer: -148856*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-21) + (0 - 135\/(-140))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-168)\/126)\/((-76)\/21*(-35)\/(-30))?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 689 and 57611?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 14 = -0*h - h, -4*f - 4 = -2*h. Is -5 greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((14\/(-84))\/(3\/(-42)))\/(13\/117)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*b + 6*r + 698, 361 - 191 = 3*r + 176 for b.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 + 0*w**2 - w**4)*(-33*w + 0 + 0 + 2).\nAnswer: 33*w**5 - 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + 0)\/72*4. What is the fourth smallest value in r, 5, 0.1, -1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 654965 and 0.03.\nAnswer: 654965.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*o**2 - 38*o**2 - 372*o**2.\nAnswer: -604*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -2*b, -4*u = -5*b + 1 - 18 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2961 and 81.\nAnswer: -23.9841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) 2 (b) -0.03 (c) 3.42 (d) -6 (e) -1\/2 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.5, -4\/5, -0.37 in decreasing order.\nAnswer: 0.5, -0.37, -4\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 15*a + 48. Calculate g(-18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7509 + 4068. Let y = w - -27569\/8. What is the common denominator of 1242\/308 - (-4)\/14 and y?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/330 and -87\/88?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000 (base 2) to base 8.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -156531 - -667531. What is t rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 4 + -14 + 5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35*0.12.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 2 + 2)*(-78*l**2 + 14*l**3 + 1378*l + 78*l**2 - 1386*l).\nAnswer: -14*l**4 + 8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 17656804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-15))\/((-15)\/9)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 174061639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -19, -1\/6, 0.7, 0.4, -32 in decreasing order.\nAnswer: 0.7, 0.4, -1\/6, -19, -29, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*(n**(2\/7)\/n)\/n*n*n*n*n\/((n*n\/(n**(-2\/21)*n)*n)\/n)*n*n**9*n**(-3\/2) assuming n is positive.\nAnswer: n**(449\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.002 - -27.183?\nAnswer: 19.181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.5 + -2.7. What is the nearest to -1 in j, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v - 3*v + v - 6*v - 3*v.\nAnswer: -13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -896*b - 52. List the prime factors of i(-1).\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 101?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 194 or 195?\nAnswer: 194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 487*y + 274*y + 176*y + 142*y.\nAnswer: 1079*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w. Let r be i(-3). Is (r\/15)\/((-3)\/(-225)) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -3905.\nAnswer: -1562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**7\/84 - 3*w**6\/20 - 7*w**5\/8 - 5*w**4\/8 + 17*w**3\/6 + 6*w**2 + 5700*w. Suppose r(f) = 0. Calculate f.\nAnswer: -2, -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 164 * 1221\nAnswer: 200244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 1. Suppose r = 7*k - 6*k - 20. Is 10 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 14484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6644 and 453?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, o: 9}. Give prob of sequence od.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*x + 7*x - 28 = 0, 2 = -2*s + 5*x. Suppose -11 = -s*d + 1. Let v(r) = 0 - 2*r**d + 2*r - 1 + 0. Calculate v(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -108.\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 40*j**3*r + 1017194*j**3 + 230*j**2*r**2 + 14*j*r - 1 wrt r.\nAnswer: 40*j**3 + 460*j**2*r + 14*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/4, -4, -324, 3, -60?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -5*n + 4, -2*u + 0*u = -6. Which is the closest to -2\/5? (a) 13\/7 (b) 1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*u**2 + 4*u + 9*u**2 - 2*u**2 + (11 + 8 - 1)*(u**2 + 2*u**2 - 4*u**2).\nAnswer: -16*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (330\/(-90))\/(10\/900*-33)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 14\/5, 74 in decreasing order.\nAnswer: 74, 14\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.5 - -2. Let x = 0.3 + -0.24. Let w = -2.06 + x. What is the second biggest value in 4, d, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*f + 5315, -13*f + 12*f - 3*u = -1757. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 w when three letters picked without replacement from {z: 1, w: 1, y: 4, d: 1, h: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -7*b + 2 - 1 + 0 + 6 + 14. What is z(8)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -90 + 157. Let v(p) = -7*p + 1. Let r be v(2). Let l = r - -36. Calculate the remainder when k is divided by l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.777 - 11\nAnswer: -10.223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -95*m**3 + 29*m**2 - 6*m + 11. Let l(c) = -32*c**3 + 10*c**2 - 2*c + 4. Let n(h) = -11*l(h) + 4*v(h). What is the third derivative of n(u) wrt u?\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 - -1087388?\nAnswer: 1087331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 5*o - 1. Let x = 35 + -3. Suppose x = -4*l + 8*l. Is a(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0104 + 0.4116. Let i = -0.322 + j. What is the closest to -0.1 in -1\/3, i, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 68 = 4*c, 4*y - 4*c = c + 123. Let u = y - -9. Suppose 3*d - 7 = -2*o, 3*o = 5*d - o - u. Solve 0 = 3*l + 2*a - a - 9, 0 = -d*l + 5*a + 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.8 - -2.4. Let t = -40 - -45. Let c be (-1)\/t*(3 + -6). Sort x, c, 3.\nAnswer: x, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 20 - u**3 + 1 + 3*u**2 - 2*u**3 - 3*u**2 - 2*u**3 - 3 + 3 + (6*u**2 - 2*u**2 - 2*u**2)*(4 - 4 - 2*u) to r*u + d*u**2 + l + a*u**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68641?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2273 + 632 = -3*x. Suppose -6*y - 169 = -x. Is 21 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -74, -72, -70, -68, -66, -64?\n\"Answer: 2*q - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50 + 51. Let z(y) = 284*y - 7. Let w be z(h). Let u = -100 + w. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -38, -30, -22, -14, -6, 2?\n\"Answer: 8*n - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -5*u**3 + 9*u**2 + 9*u - 11. Let i = -138 + 147. Let c(h) = 2*h**3 - 4*h**2 - 4*h + 5. What is i*c(d) + 4*b(d)?\nAnswer: -2*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1809 and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 436 and 10900.\nAnswer: 10900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51 + 68. Let b = -2 + 11. Calculate the remainder when j is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -367*k + 48032 = -88907 - 468611. Calculate the highest common factor of k and 1430.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19374949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-5)*(-70)\/3. Let c be -7*18\/4*(-28)\/21. Calculate the greatest common factor of c and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12667 + 12671. Let g(u) be the second derivative of 0 + 1\/60*u**p - 16*u + 11\/30*u**3 + u**2. Let g(c) = 0. What is c?\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 2*d**2 + 1. Let j be x(1). Suppose -g + 4*g = j. Suppose 5*k + l - 277 = g, 5*k + 6*l = 2*l + 268. Is 14 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39*h**3*m**2 - 8*h**3*z - 20*h**2*m**2*z - 2*h**2*m - h**2*z + 2*z wrt h.\nAnswer: 234*m**2 - 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/156 - (-504)\/378 and 5\/63.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -4*t**4 + t**2\/2 - 36*t + 318. Find the first derivative of u(i) wrt i.\nAnswer: -48*i**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 2*n + 12. Let l = n - 1. Solve 6*k - 8 = l*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 81.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -47\/3. Let p = -155.7 - -156. Which is the nearest to u? (a) 4 (b) -0.03 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 783*f**2 - 905*f + 27. Is p(17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4811219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v + 20*v**2 - 33*v**2 + 3*v - 4 + 12*v**2. Determine p(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, n: 1, d: 2, r: 1, f: 2}. Give prob of picking 1 n and 1 x.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -77.3 - -62. Let x = d - 4.7. Let c = 15 + x. Sort 3, c, 1 in decreasing order.\nAnswer: 3, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -72 + 67 + -15?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, q: 1, r: 10, v: 2}. What is prob of sequence rr?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.522 - -0.022. Let w = -2 - -9. Let j = 7 - w. Which is the closest to -0.09? (a) t (b) -0.3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52589 + -134339. What is b rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1443456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 2. Let i = h - -11. What are the prime factors of ((-2)\/i)\/(2\/(-30))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 728013 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -i**4\/4 + i**3\/3 + i**2 + 291*i + 31. Is n(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + y - 254 = 0, 67 - 575 = -4*v - 3*y. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -83 + 83. Suppose 4*t + 3*b = 375, u*b = 3*t + 2*b - 282. Does 16 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 164 = 2*c. Let b be -1 - -278*c\/2. What is b rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (21\/(-15) + 1)*5. Let x = p - -11. Calculate the remainder when 44 is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 3337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -217 + 211. Let c be 1 + (-2 + 188)\/3. List the prime factors of ((-20)\/i)\/(((-28)\/c)\/(-2)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (880 - -1) + (8 - 7).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 61 + -23264?\nAnswer: -23203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -162 >= -68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = g - 4*k + 13, -20 = 4*g - 3*k. What is the units digit of (-1)\/g*92\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 118515\/23 - 5128. Is 1\/3 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 2\/3, 0.2, 1, -129?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 634 + -1290. Let g = -423192428860.000000714 - -423192428204. Let k = i - g. Round k to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2424.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**6\/t**1*t**1*t*t*(t\/(t**6\/t))\/t)\/((t\/t**0)**38\/(t**0)**(-31\/4)) assuming t is positive.\nAnswer: t**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8875 + 7444. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(112) - (sqrt(112) + -2 + -4)))*4*-1)**2.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 + 15 + (2 - (7 - (8 - 13)))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.02 (b) -5 (c) -0.09 (d) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/12*2*5\/(-80)*4\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b + 4 - 35*b - 4 to the form u + v*b and give v.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5341329t to kilograms.\nAnswer: 534.1329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7 + 6 - 12)*(-3 + 2 + 2) + 10 + 3 - 6 + (3 - 2 - 2)*(-2 + 5 - 1))*(-i**3 + 2 - 2) + 4*i**2 + 2*i**3 - 4*i**2.\nAnswer: 10*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 5*h - 3*h)*(4*h + 4*h - 6*h - 38*h**4) + 0*h**4 + 0*h**4 + h**5.\nAnswer: 267*h**5 - 14*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 201885168 divided by -67295056?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*g - 111427 = 9001. What are the prime factors of g?\nAnswer: 2, 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -77522 equal to -77520?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2299) + 5 - (1*sqrt(2299) + 4))**2 - ((sqrt(2299)*2*6)**2 - (-1 + sqrt(2299) + 1)**2).\nAnswer: -319560 - 44*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 506 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**4 - 2*p**3 - 2*p**4 + 63 - 65 - 10*p**2 in the form r + t*p**4 + s*p**3 + y*p + g*p**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of n**2\/2 - 6*n + 2. Let d be l(8). Is 2 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.024 - 307796.\nAnswer: -307796.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in -9, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2*g = -3*g - 26, -2*g + 4 = h. Is (701\/(-2))\/((-4)\/h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 68\/354109 or 0?\nAnswer: 68\/354109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*w - 10 = -27*w + u, -3*u = -4*w + 22 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3359 + 3357. Let r be 2\/4 - (-1)\/(-18). Which is the third biggest value? (a) -3 (b) r (c) -2\/9 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(9\/3) - -5. Suppose -s - l*s = s. Is s greater than or equal to 1\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a milligram in micrograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.8773 + 0.89. Let f = l + 0.9873. Which is smaller: 3\/77 or f?\nAnswer: 3\/77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 2)*(-2*y**4 + 5*y**2 - 5*y**2) - 97*y**2 - 83512546*y**4 + 83512529*y**4 + 15*y**2 as p*y**4 + j*y**2 + i + x*y + a*y**3 and give j.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35.4 + 60.2. Let p = k - 25. Sort 14, -3, p in descending order.\nAnswer: 14, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f + 168. Let m be u(-16). Solve 85 = -w + m for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (9 + 21)\/15 + 8332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dtddt?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 546847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0439230041 rounded to 3 dps?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -x + 3*s, 2*s = -4*x + 11 + 15. Solve -5*o - 10 = -x*q, o = -q - 2 - 6 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 319.0513ml in litres?\nAnswer: 0.3190513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 + 2*w + 2*w - 6*w + 2*w + (-4*w + w + w)*(-3 - 2 + 3) + 3706*w + 2717*w - 1599*w in the form g + o*w and give o.\nAnswer: 4828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f**3 + 10. Let g(q) = 4*q**3 + q - 10. Let k be 2 + 2 + ((-20)\/(-15) - (-190)\/(-57)). Calculate k*g(v) + 3*s(v).\nAnswer: -v**3 + 2*v + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r - 6. Let n(a) = 12*a + 51. Let d(x) = 24*x + 85. Let c(g) = -3*d(g) + 5*n(g). Calculate c(b(w)).\nAnswer: -36*w + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-6)*d*d\/(d*d*d*d**(1\/2)\/d)*d*d*d)\/(d*d**1*((d**4\/d)\/d)\/d))\/(((d**(-4)\/d)\/d**(-2\/3))\/(d**0)**23) assuming d is positive.\nAnswer: d**(-13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-19)\/(0 - 19) + -642. Is -6417\/10 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 6*g. Let j(o) = -118*o. Determine j(p(c)).\nAnswer: -708*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -16. What is the nearest to -1\/2 in z, -1\/3, -0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1857 is divided by 619.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 2*v = 7, 3*x + 4 = v - 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -9*z - 21. Let w be (-44)\/(-22)*z\/(-2)*5. What is the highest common factor of 30 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 2. Let h be 3 + (1 - -1) + r. Suppose 0*c + 12 = 3*c. Calculate the greatest common factor of c and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-12) + 40\/42. Is -0.15 greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0014236 rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**2 - 5*f + 3. Let r be (-7)\/(-4) + (3\/(-1))\/(-12). Suppose -r*u + 14 = -98. Calculate the remainder when u is divided by c(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56064 and 72?\nAnswer: 168192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2290, 0.4, 10, 2\/13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.241 + 1710225.\nAnswer: 1710224.759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = 14*s + 39*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**3 - 10*f**2 + 24*f = 0. What is f?\nAnswer: -12, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) - (-2*(sqrt(13) + 2 + sqrt(13)))**2 - ((sqrt(143) - 2*sqrt(143))\/sqrt(11))**2.\nAnswer: -237 - 31*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 - 2*d**2 + 4*d.\nAnswer: -2*d*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a milligram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h**2*m**2 - 15*h**2*m + 157*h**2 + 7244*h*m - 7*m**2 wrt h.\nAnswer: -4*m**2 - 30*m + 314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 70717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**3 - 1198*a**2 + 9198*a - 7996. Let x(j) = -2*j**4 - 7*j**3 - 4791*j**2 + 36791*j - 31982. Let m(u) = 9*h(u) - 2*x(u). Factor m(y).\nAnswer: 4*(y - 10)**2*(y - 1)*(y + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 1)*(-j - 9 + 9)*(j - 2 + 2)*(0 + 4 - 2).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v - 23. Let n be l(19). Let q be 7\/(-1)*-1 - 1. Let k = q + n. Solve -3*u + 10 = k*a, -4*a - 2*u = -u - 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5228272 by -1307068.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*s**3 + 56*s**3 - 80*s**3)*(2*s - s - 2 - 5*s**2 + 3*s**2).\nAnswer: -32*s**5 + 16*s**4 - 32*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 152264846?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/4 - 2\/8. Suppose 4*q = -z - n*q + 5, 1 = z + 3*q. Let u = 28637 - 28635. Put -2, z, u in increasing order.\nAnswer: z, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44 + -38. Let l be (10\/m)\/((-8)\/(-24)). Solve 2*t - l = t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 512\/(-96)*(-29)\/((-5278)\/39)*-84.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12392287*s**3 + 2*s**2 - 27534193*s wrt s?\nAnswer: -74353722*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 7*h + 406. Let a be j(24). What is the biggest value in 8\/13, -4\/3, -0.1, a?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -489 - 7*u**2 - 2*u**2 + u**2 + 489.\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/4 + 18841*z**2\/4 - 22179388*z - 66580563.\nAnswer: -(z - 9422)**2*(z + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -70468.968 to the nearest 1000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 1840?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 22b + -232?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 7:34 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2311*n + 1154*n + 1150*n - 73 to the form g*n + a and give a.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -9*w**2\/2 + 426*w + 55. Does 71 divide c(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 + -419 - (4 + -77)?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26105 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 0.7 (c) -4 (d) 0.2 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3998750?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179146?\nAnswer: 2, 11, 17, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 7. Let a = -10 - q. Find the common denominator of -83\/18 and a\/9 + (-877)\/(-18).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -270*a. Let r(b) = -b**2 + 91. Calculate r(c(n)).\nAnswer: -72900*n**2 + 91","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-4)*88\/(-297)*-6.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 7*q**3 - 9*q**2 + 79. Let y be l(11). Let d = 2447 - y. Round d to the nearest one hundred.\nAnswer: -5900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 5*d - 4. Let s = -167 + 167. Suppose -36 = 9*i - s*i. Determine y(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -19*d + 4. Let x(t) = 2*t**2. What is x(l(k))?\nAnswer: 722*k**2 - 304*k + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*(2 - (-10)\/(-4)). Suppose -4*b + 22 = -3*s, -5*b - 4*s - s + 45 = t. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3128.11695 rounded to the nearest ten?\nAnswer: -3130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11595477 and 194.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3269 = -n + h, -h = 2*h - 15. Let m = n + -2055. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57664?\nAnswer: 2, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6860 and 17946950.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 19*h - 205 = -151 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 69563\/28 = 2485?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 21263.\nAnswer: 9\/21263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/6)\/((-259)\/3108)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/4 + 5\/12. Suppose 4*f - 4*n - 430 = -34, 0 = -3*n + 3. Let h = -100 + f. Put x, h, -3 in decreasing order.\nAnswer: x, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-8) - -2 - (1 - 10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9, -24, -51, -96, -165, -264?\n\"Answer: -s**3 - 8*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5222622*w**2*y + 188159*w*y - 5*w + 2*y wrt w?\nAnswer: -10445244*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 16 = p, -4*p = 16 + 4. Let g be (-1)\/2*(-3 - a). Solve -15 = -3*j, 0*n + n + j - g = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 948322 to the nearest integer?\nAnswer: 974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (10 - (-681)\/(-36)).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 89122682*h*t**2*y - 2*h*t**2 + h*t*y - 2*h*t - 4622636*h*y - 2*t*y - 4*y wrt t.\nAnswer: 178245364*h*y - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31083815381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a microsecond in nanoseconds?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/7 + 9*d**3\/7 - 20*d**2\/7 + 12*d\/7.\nAnswer: -d*(d - 6)*(d - 2)*(d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 + 31. Let m = -39.2 + 34. Let g = m + t. Which is bigger: g or -2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5830883477\/10 + -583985961. Let m = -893701 - i. Let a = -3906 + m. Calculate the common denominator of -125\/6 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 701 - 690. Solve k*v + 2 = 12*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, n: 4, t: 10}. What is prob of picking 2 t and 2 n?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a + 5. Let k be 3\/((-15)\/(-4))*(-103 + 108). Let b(x) = -x - 1. Calculate k*v(o) + 22*b(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -31 (b) -3\/5 (c) -2 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 2*t - 6*t)*(91 + 69 - 48).\nAnswer: -224*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -83 + 83. Is 139 + (q\/(-2))\/4 + 4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in five quarters of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/5, 1, 11.9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 1:38 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 1.01. Let i = q + -2.99. Put i, 0.07, -0.1 in decreasing order.\nAnswer: 0.07, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13759 + -13764. Let v = 0 - 3. Sort -4, v, x, 4.\nAnswer: x, -4, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8076086 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 25081, 25069, 25057, 25045, 25033?\n\"Answer: -12*l + 25093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 81*f + 21. Let c(b) = -8*b - 2. What is -21*c(j) - 2*u(j)?\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 + 3193920*y**2 - 3193921*y.\nAnswer: y*(y - 1)*(y + 3193921)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 10 - 1351*i**3 + 1 + 1412*i**3 to the form r*i + u*i**3 + v*i**2 + g and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 4:14 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61 - 59. Let r(z) = 2*z**2 - 6*z - 6. Let l(t) = -t**3 + 4*t**2 - 11*t - 11. Let s(q) = f*l(q) - 5*r(q). Factor s(u).\nAnswer: -2*(u - 2)*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 861073878 to the power of 1\/4, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -7*j**3 + 12*j**2 - 12*j + 30. Let g(v) = 13*v**3 - 25*v**2 + 24*v - 61. Let h(z) = 6*g(z) + 11*y(z). What are the prime factors of h(18)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3 - 29*h + 2 + 85*h + 158*h in the form g*h + t and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 15) to base 6\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -43 (base 8) to base 15\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 5*m + 31, -1530*z + 1533*z = -5*m - 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + o - 4109, -12*r - 24669 = -18*r - o. What are the prime factors of r?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 287 + -222. Is 2 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40252 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -141567106*x**3 + 103074661*x wrt x.\nAnswer: -849402636*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 2*r + 38, r + 23 = -0*w + 4*w. Suppose -2*m - 25 = -5*c - w*m, -m = 3. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + 180 - 152 - 6\/(-2)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 273 and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70 + -61 + 5 - (-1 + 2 + 0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h**3 + 0*h**3 - 35*h**3 + 11*h**3.\nAnswer: -16*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccbb when four letters picked without replacement from bbbbcbbbbcbbb.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-1956)\/24)\/(-1 + 1\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 8*p - 54. Let f be z(7). Let k(a) = 16*a + 10. Let u(h) = 5*h + 3. What is f*k(s) - 7*u(s)?\nAnswer: -3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-1\/6)\/f*f)\/f*f**(-5)*f*f**(-4\/3)*f**(-5) assuming f is positive.\nAnswer: f**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -0.13313, -0.3, 52?\nAnswer: -0.13313","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44392, 88772, 133152, 177532?\nAnswer: 221912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/7)\/(1\/7). Let d(c) = 15*c + 48. Let r(m) = 16*m + 52. Let t(y) = 15*d(y) - 14*r(y). Determine t(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f**2 + f**2 + 44 + 9 - 2. Let b(g) = -3*g. Give b(d(v)).\nAnswer: 6*v**2 - 153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81717 - 384408 = -61*z + 6*z. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3097b (base 13) to base 8.\nAnswer: -252412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/10*1\/6*-1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 302 by 1.\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3555498, 3555501, 3555504, 3555507, 3555510, 3555513?\nAnswer: 3555516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-9 - 1) - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 4:06 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-6 - -10)) + (1 - 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (79 + 12 - 128)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 b, and 2 o when four letters picked without replacement from {g: 1, m: 3, q: 3, b: 1, c: 2, o: 3}?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 15. Suppose 4*y = l + 7, u*y - 5*l - 3 = 16. Let m = 15 + -11. What is the greatest common factor of y and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g. Let f(r) be the first derivative of -6*r**3 - 13. What is s(f(u))?\nAnswer: 54*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of 7*m**5\/10 - m**4\/4 + 13*m. What is the third derivative of o(s) wrt s?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**3 - 9740*o**2 + 8403388*o - 1739349472 = 0.\nAnswer: -10552, 406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 584.56497 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6678464 and 2944.\nAnswer: 13356928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5*u + 10990 = 0, 0 = 4*b - 3*u - 2684 - 6108. Calculate the highest common factor of b and 140.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -78637 from -163.6091.\nAnswer: 78473.3909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/2 - 28*k**3 + 486*k**2 - 3024*k + 4320.\nAnswer: (k - 30)*(k - 12)**2*(k - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 1128.5676.\nAnswer: -2257.1352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 5*l**2 - l + 2. Let z be r(5). Let q be (9\/z)\/1*-1. Suppose 57 = -2*h + q*j, -7*j = -5*h - 3*j - 153. What is h rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -153? (a) 24 (b) -5\/2 (c) -6\/5 (d) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 498 is divided by 39.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 9:56 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 5*d**2 - 4*d - 15. What is h(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -4\/60924457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13.7 + 14.2. Sort -1.5, n, 5 in descending order.\nAnswer: 5, n, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*o - 22648 = 13*o - 1055*o for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 3, -40, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156*w + 29*w + 41*w + 46*w + 46*w - 3*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -677755 + 48?\nAnswer: -677706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2496*l + 30 = -2486*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - (3\/1 + -1). Suppose 3*x + q = 101. Let i(k) = k**2 + k - 25. What is the remainder when i(-13) is divided by x?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 33\/6 + (-1)\/(-2). Suppose 3*h - z = -2*f, 5*f = -0*f. Is h != 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b + 33. Let m be r(-16). Suppose -2*f + 8 = -p - p, f - m = 0. Let y be (-36)\/(-14) + p\/(-7). Solve -c + 15 = -y*h, 4*h + 0*c + 10 = -2*c for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-7 - -4)) + -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 635832812 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y**3 - 4*y**4 - 281 + 2*y**4 + 0*y**3 + 282 - 3*y**2 + 3*y - 9*y**4 to the form n + l*y**3 + b*y + i*y**2 + a*y**4 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 11*w + 11 + 8 - 30 + 12. Determine p(-3).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9730)\/139)\/(((-7)\/28)\/((-12)\/96)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-10)\/(-12))\/(1\/(-9)). Let s = -8 - f. What is the closest to s in -0.3, -2\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k. Let z be b(1). Let m = 7353 - 7351. Is (-2554)\/(-3 + 0 + z - m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3212934*t**3 - 57572994 wrt t.\nAnswer: -9638802*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.102 + 1016502?\nAnswer: 1016501.898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-89)\/(35\/10 - 4). Let q = 174 - n. Sort -3, -5, q, 3 in increasing order.\nAnswer: -5, q, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-192)\/216 - 1*(-1 + -3). Which is the nearest to 2\/7? (a) g (b) -2\/5 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -13.6711 and -326621?\nAnswer: 326607.3289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -56406 divided by -119\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71400668, -71400669, -71400670, -71400671, -71400672, -71400673?\nAnswer: -71400674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*b + 0*b + b)*(6*b**2 + b**2 + 0*b**2) + (b + 4*b - 3*b)*(-3 - 2*b**2 + 3) as t*b + u*b**2 + j*b**3 + f and give j.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -653 + 746. What is the remainder when 1766 is divided by j?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155866 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 6, 5*o - 4*x = o - 28. Let u(d) be the third derivative of -35*d**4\/24 - 5*d**3\/3 - 14*d**2. Does 12 divide u(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 585839?\nAnswer: 585839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-32186)\/(-1155) - (-2)\/15. Let s be (56\/16 - 3)\/(1\/d). Solve 0 = -s*m + 9*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6))\/(((-64)\/2)\/(-64))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 9:53 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4894.7547766 + -4968.75479. Let x = j + 74. What is x rounded to six dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/16, -1, -4 in descending order.\nAnswer: 3\/16, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/(-2))\/(4\/(-8)). Which is the closest to 2\/7? (a) 0.1 (b) -1\/4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 3*s = 3*m - 9, -3*s - 3*m + 9 = 0. Suppose 6*x - 4*x = s. Let z = 0 + x. Solve z = 6*k - k - 20, 4*k - 13 = 3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2 = -0*r. Let d(v) = v**2 + v + 1 - v - v. Let g be d(r). Solve -g = 2*u + 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 9*b**2 + 10*b + 6. Let i = -6 + 8. Let f be -12 - (i + (-12)\/3). What is the units digit of n(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -572*a**2 - 356*a**4 - 235*a**2 + a**3 - a**3 - 665*a**4 wrt a?\nAnswer: -24504*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30421 - -91262\/3. What is the closest to h in -0.3, -54, 1\/7, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 685507629251191\/65142 - 10523281892. Let g = j - 3\/3619. Find the common denominator of g and 31\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40809 to the power of 1\/2, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llvvuuvlllllvvvvvlv. Give prob of picking 1 v and 1 l.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 11*u + 23. Let i be t(-10). Suppose 8*v + 70 = i*v. Suppose b + v = 16. Solve -b*a + 8 = 4*h, a - 13 = -5*h - 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2381, 4587, 6603, 8429, 10065?\n\"Answer: -95*r**2 + 2491*r - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 13886?\nAnswer: 13883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 656.7 + -657. Suppose -f - 33 = 5*h, -2*f - 27 = 2*f - h. Let q be 2 + 1*f\/6. What is the third biggest value in q, 0.5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 k when four letters picked without replacement from {k: 5, w: 11}?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 + 656316*l - 659482*l to g*l + o and give g.\nAnswer: -3166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 4)*(93 - 14 - 18)*(0 + 0 - 3*i).\nAnswer: -366*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**3 - 162774*c**2 - 3314118240*c - 89362569600 = 0?\nAnswer: -40680, -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 1120011?\nAnswer: 1120011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 - 50. Let c = b + 25. Let f = c + -7. Are -1 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.23 (b) -113 (c) -4\/5 (d) 6394 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**5 + 3*w**5 - 3*w**5 + (-5*w**3 - 2*w**4 + 5*w**3)*(w + 0*w + w) - 3*w**2 + 3*w**2 - 7*w**5 - 19*w**5 - 6*w**5 + 2*w**5.\nAnswer: -36*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100 - -10100011?\nAnswer: 10000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r + 348*r**3 + 178*r**3 + 0*r + 344*r**3 - 877*r**3.\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0324555 rounded to five decimal places?\nAnswer: -0.03246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**3 + 147 - 145 - 373*z**2 - 2088*z**2 - z**3.\nAnswer: 3*z**3 - 2461*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2441459652 to the power of 1\/3, to the nearest integer?\nAnswer: 1347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 151*l - 184 + 373 + 113 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35 - -25) + 11 + -14 + -1?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 2*v - 4*d, 2*d - 6 + 2 = 0. What is the remainder when v is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.6 - -0.6. Let s = 53 + -110. Let r = s + 57. Which is the biggest value? (a) r (b) 0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -10*b**2 + 35*b + 35. Suppose 0 = 3*w + 47*c - 49*c + 115, 0 = 4*c - 20. Let m(l) = -l**2 + 4*l + 4. Give w*m(p) + 4*f(p).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -k**2\/2 - 4*k - 3. Let w be o(-8). Suppose -95 = -w*x + 17. Does 19 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, -2, 87, -1\/138?\nAnswer: -1\/138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 982 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81133 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -201 (b) 0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 1 + 42*f + f**2 - 42*f. Let o(n) = -4*n**3 + 5*n**2 + 5. Suppose 1459*a + 0 = 1455*a - 4. Determine a*o(y) + 5*d(y).\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1136 - -2008. List the prime factors of p.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 15438*j - 6715522. Determine l(448).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5561?\nAnswer: 67, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.05 + 0.64. Let d = -14.01 - t. Let s = d + 15. Which is the closest to -1? (a) 0.2 (b) -5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1296)\/(-297))\/(27\/(-297))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/21*(-2016)\/(-3744)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5*w - 7*w = -278, 3*v - 2*w - 442 = 0. Calculate the remainder when v is divided by 47.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - (2 - 3)) + 144\/4. Let k be 112\/6*(-54)\/w. Let v be 8\/k + (-132)\/(-21) + -2. Sort -1, v, 1, 5 in decreasing order.\nAnswer: 5, v, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -94*c + 1719. Is n(-22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*l, 4*l - 32 + 18 = -t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.135 and -7.\nAnswer: -0.945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.9 - -0.9. Let c = -1 - -1. Is r > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 5*r = 19, -4*i = 4*r - 0 - 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4*a - 468 = 0, j = -2*j - a + 331. Let s = j + -112. Put s, 2, -7, 1 in ascending order.\nAnswer: -7, s, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/4 (b) -22 (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gdddkcr. Give prob of picking 1 d and 1 g.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147860*p - 20 - 49287*p - 49285*p - 41*p**3 - 8 - 49288*p.\nAnswer: -41*p**3 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 798 or 5\/8?\nAnswer: 798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - o + 215. Suppose -38*y + o*y = 285. What is the highest common divisor of y and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/1 - (6 - -87). Let r = x - -463\/5. Let w = 6 + -2. What is the closest to r in -3, w, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00301708384 rounded to seven dps?\nAnswer: 0.0030171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 31054435 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3630) - sqrt(3630))\/(sqrt(10) + (sqrt(640) - sqrt(10))*-5) + 0.\nAnswer: -11*sqrt(3)\/34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 + -0.2.\nAnswer: -41.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*t - h, -3*t + 2 = 2*h + 13. Let r = 3 - t. Let d = 9 + r. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2991351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12284, -13891, -15498, -17105, -18712?\nAnswer: -20319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51 - -9. Let h = -1 + a. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 81 - 1 = 0. What is the remainder when 38 is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuu. Give prob of picking 2 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - (sqrt(72) + (sqrt(72) - sqrt(72)*1) + sqrt(72)))*4)\/(-3*sqrt(96)) + (-3 + 3*sqrt(12) - (sqrt(96)*2)\/sqrt(8)).\nAnswer: -3 + 8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6980 is divided by 160.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2493*g + 833*g + 828*g + 837*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5465*d**5 + 10*d**3 - 38*d. Let j(v) = -2733*v**5 - 4*v**3 + 19*v. Let r(u) = 5*j(u) + 2*s(u). Find the second derivative of r(x) wrt x.\nAnswer: -54700*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 - 2*c - 51. Let z be t(7). Let q be (-26)\/143 + -42*69\/z. Which is greater: q or -87?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 15510 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1995*o**2 + 5863*o**2 - 3629*o**2.\nAnswer: 239*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 426*w + 337*w + 257 - 5145 = 669*w for w.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 174 - i - i**2 - 349 + 175. Let k = 3 - 3. Calculate t(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (117 - -43 - 57) + -49\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j + 6*j + 4*j)*(-2 + 2 + 3) + (0 + 1 + 0)*(-j + 2*j - 3*j) + (-2*j - 5*j - 2*j)*(0 - 5 + 4).\nAnswer: 49*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-72)\/(-116))\/(2085\/8062). Determine h so that -34\/5*h + j + 34\/5*h**2 + 2\/5*h**4 - 14\/5*h**3 = 0.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from gggggtgggggtg?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1698816 divided by 384\nAnswer: 4424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 1 + (2 - 5 + 2)*(2 - 2 - 2) + 1 + 0 + 0)*(-2*b - b - 2*b)*(-b + 0 + 0) in the form u*b + q + o*b**2 and give o.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 355a75 (base 14) in base 7?\nAnswer: 21324005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*b - 23 = -0, -b = -4*n + 14. Suppose -x + 4*d = 9, d - n*d = 3*x - 43. Suppose 16 = -g + 3*g. Calculate the least common multiple of g and x.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**5\/2 - 251*r**4\/2 - 15875*r**3\/2 - 15625*r**2\/2 = 0. What is r?\nAnswer: -125, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.458 to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -10*w**3 - 2*w**2 - w - 2. Let s be a(-2). Calculate the greatest common divisor of s and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 384554835?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (22 - 45*r - 22)*(0 + 3 + 2) as n + p*r and give p.\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25199417.\nAnswer: 25199417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3735, -14493, -32255, -57003, -88719?\n\"Answer: 3*y**3 - 3520*y**2 - 219*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - -0.4. Let t = -10 - -10.4. Let s = -7.5 + 8. Which is the third smallest value? (a) t (b) k (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -965 divided by -160579?\nAnswer: 965\/160579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.061 (b) -1656\/91 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 - 2*f + 1. Let c be r(2). Suppose 2*y - t = 7, -y + c*t = -2*y - 2. Suppose 0 = y*v - 9, -10 - 3 = -s - 4*v. Solve s - 4 = -z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -4950\nAnswer: 1\/450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/2*606\/(-4). Let j be b\/6 - 2\/4. Suppose -j - 70 = -3*n. What is the highest common divisor of n and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-6))\/((-1)\/(1\/3))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 + 3*j**2 - j**2)*(-j + 2 - 2) - j**3 - j**2 + j**2 + 2*j - 2*j - 13*j**3.\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**4 + q**2 + 3*q + 3. Let x(o) = -o**4 + o**2 + 4*o + 4. Let z = 0 - -3. Let i(v) = z*x(v) - 4*n(v). Factor i(h).\nAnswer: h**2*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -110110101011010?\nAnswer: 110110101011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2 - 9*j + 4. Let a(b) = b + 3. Let z be a(-6). Let m be w(z). What is the greatest common factor of 2 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -953.37, 2\/11, 4\/7, 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 136.0158 * 2.36\nAnswer: 320.997288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -8. Let a = 28 - j. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3141703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 94412893 and 601.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 693649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-32)\/(-80) - (77\/5 + 1). Which is smaller: f or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117299291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 31*y**3 + 3*y**2 + 22*y + 50. Give r(-3).\nAnswer: -826","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101001101001000 (base 2) to base 3.\nAnswer: 1002020122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from 5.706.\nAnswer: 5.506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2481 divided by -78.\nAnswer: -827\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 136 = -136. Suppose 0*v + 4*v - 12 = a. Let z(m) = m**2 - 2*m + 1. Let k be z(v). What is the nearest to 1 in k, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 999201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6438 and 522?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, z: 3, p: 1, e: 6, n: 1}. Give prob of picking 1 n and 2 y.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -108790*b + 22824?\nAnswer: -108790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 23*g**2. Let f(y) = -64*y + 35*y + 28*y. Give l(f(c)).\nAnswer: 23*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31240 + -15814. What are the prime factors of h?\nAnswer: 2, 3, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, m: 2, t: 10, n: 1, x: 1}. What is prob of picking 2 d, 1 t, and 1 m?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 274*n + 25*n**2 - 274*n - 2*n**4 + 87*n**6 + 30 - 12 - 14 wrt n.\nAnswer: 10440*n**3 - 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 20*r**3 - 6*r**2 - 16*r - 12. Determine a(-2).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -132 - 42204010?\nAnswer: -42204142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.12535 in -3, -2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*l - 77*l + 166*l**2 + 23*l - 8 + 26*l - 2*l**3 + 4 to q*l**2 + h*l + z*l**3 + k and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 703.55.\nAnswer: -351.775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27709 + 95859.\nAnswer: 68150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s - 1. Suppose -u + 1 = -2*u. Let d be c(u). Let z be 3 + 0 + (-2 - -2). Sort d, 5, z in decreasing order.\nAnswer: 5, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1057 - -688?\nAnswer: 1701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.022, -73, -1\/4, -1, -3, 1 in ascending order.\nAnswer: -73, -3, -1, -1\/4, 0.022, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 256 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -1*sqrt(475) - ((-2*sqrt(475) + sqrt(475))**2 + -2 - sqrt(475))) + 1*(-1 + 0 + sqrt(475)))*-5.\nAnswer: -25*sqrt(19) + 2360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 2675\nAnswer: -2675.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*c**4 + 432*c**3 - 785*c**2 - 246*c.\nAnswer: c*(c - 2)*(c + 41)*(11*c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 459414966 to the power of 1\/5, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 144803709?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k - 1. Let h(j) = 7*j - 9. Suppose 5*w + x = 2, -2 + 1 = 5*w + 2*x. Let l(u) = w*h(u) - 2*z(u). Is l(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-44))\/((-2)\/(-8)*3)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -43683, -4, 1, 108, -1\/2 in ascending order.\nAnswer: -43683, -4, -1\/2, 1, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -22*f**2 - 2. Let w(c) = -888*c. What is p(w(j))?\nAnswer: -17347968*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -8.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -6 + -4 - ((5 - -36) + -51)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7398 and 0.3.\nAnswer: -7397.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2.1 + 0.97552\nAnswer: 3.07552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w. Let n(f) = -2*f. Let b(j) = -j**3 - 8*j**2 + j + 10. Let t be b(-8). Let d(i) = 2 + 3*i - t. Let m(s) = -5*d(s) - 6*n(s). Calculate m(y(c)).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 4:35 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 93185020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106864 + 320592 - 106865 - 106863 - 3*d + 0*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 22 - 44 = 0. Let r be ((-9)\/2)\/(75\/(-800)). Suppose 8*v - 16 = r. Does v = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 1117*l + 5567. Calculate c(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*q + 5, 4*c = -5*q + 3 + 17. Solve 4*r - 16 = -2*n - 6, q = n + r - 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.195 times 0.145359?\nAnswer: 0.028345005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z - 4. Calculate b(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*((-12)\/(-4))\/(-162).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 132 + (21\/(-14))\/1 + (-943)\/46\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 920 and 72?\nAnswer: 8280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/3 in 2\/5, 4, -1\/4, 15?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 836 and 37475?\nAnswer: 31329100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -10. What is the tens digit of (g - -3)\/(2\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q - 17. Determine g(-14).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -779 and -0.4?\nAnswer: 311.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93307 is divided by 8470?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-2))\/(-30*44\/(-110)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from dpzdzdppdzdpppdbzz?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45.7709897876 - 1.5290114564. Let s = t + 47.3. What is s rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255581.\nAnswer: 131, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*h**3*i**2 - 735*h**3*i - h**3 - h**2*i**2 - 664*h*i**2 + 2*h - 4*i**2 wrt h.\nAnswer: -36*i**2 - 4410*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 118*y + 26. Let r be d(-2). Let t be 4 - (-22)\/(-33)*r\/4. Solve 9*o - t = -3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1986343*y**3 - 10*y**2 + 90766*y + 161.\nAnswer: -11918058*y - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 898128797 to the power of 1\/2, to the nearest integer?\nAnswer: 29969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**2 + 2*i**2 + 3*i**2 + (i + 2*i - 2*i)*(-i + 2*i + 0*i) + i**2 - i**2 + i**2 + (3*i + 6*i + 7*i)*(5*i - 3*i - 3*i).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -12*o + 3. Let j be m(-3). Suppose -g - 3*a = -29, -18 = -4*g + 5*a + 81. What is the greatest common factor of j and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/2731?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -587*a**9\/504 + 143*a**5\/30 - 74*a**2. Find the third derivative of m(z) wrt z.\nAnswer: -70440*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + -5*(sqrt(11) - sqrt(11)*-3) - sqrt(11)) + -2 + sqrt(275)*-1*5.\nAnswer: -45*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(-4))\/y)\/y**4)**(-38)*((y*y**(-2\/5)\/y)**(-1\/26))**(1\/29) assuming y is positive.\nAnswer: y**(1\/1885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-63)\/315 - (-9362)\/10. Suppose -26*i + h = -25*i. Does 18 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-3)\/(-45)*-3). Suppose 8*r = v*r. Let u = -2 - -2.1. Which is smaller: r or u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -525*p - 54. Let j(h) = 1574*h + 153. What is -6*j(s) - 17*r(s)?\nAnswer: -519*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 2\/44543, -2, -0.5, -0.2, 189, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46072463 to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 2*f + 18 - 8.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14268354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a centimeter?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0358 - -6.0358. Is g >= -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23795 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -11 - (-3 - (-18)\/(-2)). Solve 147*b = 148*b - t for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280 is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 409024 and 5376?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 1. Let o = 86609 + -86609.6. Which is the nearest to d? (a) -5\/3 (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -62*l**2 + 94*l + 189. Give v(-2).\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 291348*i**3 - 582311*i**3 + 291156*i**3.\nAnswer: 193*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 11 = -2*d - 3, 2*d = -5*n - 20 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 13\/7, -2\/15?\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 34*a**2 - 31*a - 46. Give h(33).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 5 (c) 0.2 (d) -0.95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -571*k + 1120 = -431*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b - b - 2*b)*(b + 0*b + 0*b)*(b + b**2 - b).\nAnswer: 2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 2*v + 1. Let a(q) = 2*q**2 - 140*q + 5. What is -a(c) + 4*r(c)?\nAnswer: 2*c**2 + 132*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**3 + 4585*z + 0*z**3 - 4605*z.\nAnswer: 2*z**3 - 20*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2352872*r**4 - 3570468.\nAnswer: -9411488*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -276 + 276 + 20*v**2. Let k(i) = i**2. What is k(q(z))?\nAnswer: 400*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90772.99 millennia to months.\nAnswer: 1089275880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -492 and 2217.\nAnswer: -1090764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of o**3\/6 - 17*o**2\/2 + o. Let w be h(13). Is (-43)\/(-4) - 1\/w a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*i - 4 = 0. Suppose -18 = -f - i*f. What is the lowest common multiple of 30 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -91 + 140. What is the derivative of -42*p**2 - f + 9*p**3 - 6*p**3 - 6*p + 42*p**2 wrt p?\nAnswer: 9*p**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from {n: 5, d: 1, j: 3, u: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 9 = -3. Calculate the least common multiple of m and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 309, 417, 525?\n\"Answer: 108*n + 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0 - 19 - 5*k + 8 + 5 + k wrt k.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -478 divided by 2.\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*n - 146*n**3 + 73*n - 140*n + 96*n**3.\nAnswer: -50*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2410*o**4 - 272318*o**3 - 1056634*o**2 - 782802*o + 3924 = 0. What is o?\nAnswer: -109, -3, -1, 6\/1205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4572 + 4576. Solve -q*z = 18*z + 110 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i + 5*d + 5, -2*i + 31*d - 10 = 35*d for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n + 4*n - 5*n - 117*n + 46*n + 33*n + (-2*n - 2*n + 5*n)*(-2 + 2 + 2).\nAnswer: -38*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73446 = 2197*f - 9733 for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kgc. What is prob of picking 2 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 83*k**2 - 2*k**3 - k - 2*k**4 + 24 - 57*k**2 + 5*k - 25*k**2 as w*k**3 + r*k**2 + m*k + h*k**4 + a and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179191 + 3*b - 179191.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2338)\/8 - 21\/(-84). Let s = 294 + r. Sort -4, s, 8 in ascending order.\nAnswer: -4, s, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -159624124*q**5 - q**2 + 473926*q + 85 wrt q.\nAnswer: -9577447440*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 11:46 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -99.855 to zero decimal places.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*t - 12 = 0. Let f = 0.122845 - 0.162845. What is the third biggest value in -0.5, f, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m - 162 = 9*m. Solve -4*v + 0*c = -c + m, 2*v + 3*c = -2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324727 + 92432 = -6637*a for a.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-2))\/(11\/(-308)). Suppose 7*w + i = -7. Put w, 3, -1 in ascending order.\nAnswer: w, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -440161, -440141, -440085, -439975, -439793?\nAnswer: -439521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2612554, 2612592, 2612630, 2612668, 2612706, 2612744?\n\"Answer: 38*v + 2612516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*h - 19*h - 4*l - 17 = 0, -l + 2 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52988264*z**2 - 17242753*z?\nAnswer: -105976528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4404 (base 5) in base 11?\nAnswer: 4aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -415862734 divided by 29542\nAnswer: -14077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20696 - -22862. What is the lowest common multiple of 171 and r?\nAnswer: 6498","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 903, 1913, 3027, 4245?\nAnswer: 5567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + -23. Let l = 0 - y. What is the least common multiple of 10 and l?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23240589?\nAnswer: 3, 7746863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 43.64425 milligrams?\nAnswer: 0.00000004364425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wn when two letters picked without replacement from wnetg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 8*z**2 + 7*z + 3. Let w be j(7). Suppose -w*g = -g. Suppose g = -6*a + 2*a + 80. What is the remainder when a is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z + 1. Let j(v) = 609*v + 13. Let w(i) = -6*c(i) + j(i). Suppose 11 = 8*x - 5. Is w(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-4 - -4) - (-26 + (-8505)\/(-357)).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -37.5 and -5.\nAnswer: 187.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27684?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25551 * -0.046.\nAnswer: 1175.346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 106 + -43. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.68 - -7.28. Let l = 7 - v. Put -0.5, -3\/8, l in decreasing order.\nAnswer: l, -3\/8, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 217*y**4 - 5*y**2 + 4*y + 21. Let t(w) = 217*w**4 - 4*w**2 + 4*w + 22. Let o(d) = -5*t(d) + 4*u(d). Find the second derivative of o(g) wrt g.\nAnswer: -2604*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(119)\/sqrt(112) + 0)*2)**2 + -3.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -9 - 12 - 13 + 19 + 16*t**2 - 14*t + 63*t**3. Let p be q(15). What is p rounded to the nearest ten thousand?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/8*(-10)\/(-5).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4*((sqrt(1584) + 1*sqrt(1584)*3 - (sqrt(1584) + (sqrt(1584) - (0 + sqrt(1584) + 0) - sqrt(1584)))) + -2))**2 + 1 + 4.\nAnswer: -3072*sqrt(11) + 405569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 6 = 2*r - 4*r, 2*y + 3*r = 16. What is the first derivative of 4*n**2 + y*n**2 - 148 + 143 wrt n?\nAnswer: 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y - 207 + 171 = -13*y for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31*-9.\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of 0 + 0*s + 50*s**2 + 0*s**3 - 1\/4*s**4. Let w(g) = 9*g. Give w(p(b)).\nAnswer: -54*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 9:55 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 12 = -57. Let i be w - (1 + 3 + -1). Solve 4*a - 3*m + 16 = 0, 0 = 3*a + 2*a - 3*m + i for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -1 - (8 - 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18212152*w - 30786132 wrt w.\nAnswer: 18212152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*m = -289 + 43 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27332676?\nAnswer: 2, 3, 7, 108463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence go when two letters picked without replacement from {p: 3, g: 4, o: 1, u: 4, t: 2, a: 3}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/222 and (-12)\/22 + 57190\/280016.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 135, 83772 in increasing order.\nAnswer: -4, 135, 83772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6147 by -9.\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2. Let l(m) = -18*m**3 + 4*m**2 + m. Let n(g) = 3*f(g) + l(g). Let q be 275\/(-325) + 2\/(-13). What is the least common multiple of n(q) and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -344, -4 in descending order.\nAnswer: -3, -4, -344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 62490103043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - -3)\/(761*-1). Let j = 805\/33484 - q. Let i be 4\/6 - (-10)\/(-6). Do i and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 628 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1494 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1024876526?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*n + 0*n + 7*n)*(2*n + 0*n - 4*n) - n + n - 2*n**2 + (0*n + n + 3*n)*(-3*n - 2*n + 7*n) - 12 + 12 + n**2)*(6*n**3 - 4*n**3 - n**3).\nAnswer: -n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -153.49867 rounded to one decimal place?\nAnswer: -153.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6904367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2938*x**2 - 1485*x**2 - 1474*x**2 - 8 to a*x**2 + c*x + i and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 6 = -0*u. Suppose u*o = -g, g + 4*g - 7 = -3*o. Suppose d + g*a = 66, -4*d + 7*d - 182 = -2*a. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -107 - -114. Let x = -3 - 3. Let h = x + w. Solve -n = h + 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 11:33 PM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 - 3 - -2*1 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 257 (base 12) to base 6\nAnswer: 1351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, p: 1, o: 9, t: 2}. Give prob of sequence sot.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720)*1 + 1)*1 + -3 + 1 + -4)**2.\nAnswer: -120*sqrt(5) + 745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 2 + 1)*(-84*q + 19*q + 148*q + (-2*q - 5*q + 9*q)*(1 + 4 + 4)) in the form p + d*q and give d.\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 186505?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 5*s + 7, -2*m - s + 40 = 8. Suppose -2*y + m + 49 = 0. Let n be y\/(-55) - (-26)\/10. Solve -4*o + 19 = f, 0 = -n*o + o + 2*f + 7 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 4 = -4*t. Let f = t - -1. Solve 7*g = 2*g - 4*d + 16, 2*d = -f for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55562, -111118, -166676, -222236?\nAnswer: -277798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 576812917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229 = -2*k - 225. Solve -3*v - z + 4*z = 0, k*v = -5*z + 21 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5521625 divided by -1355\nAnswer: 4075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12676620?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y**2. Let v(h) = 8669589*h. Calculate v(x(j)).\nAnswer: -26008767*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 696 divided by 2150104.\nAnswer: 87\/268763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 125818 divided by -43\nAnswer: -2926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -73\/5 - -15. Which is the nearest to y? (a) -1 (b) 1 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 149*t**5 - 2*t**4 + t**3 + 7*t**2 - 51?\nAnswer: 8940*t**2 - 48*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100263, 100257, 100251, 100245, 100239?\nAnswer: 100233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p = -110 + 68 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1258 - -608. List the prime factors of v.\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**3 - 7*m**2 - 7*m - 1. Is l(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*x + 1534 = 64*x + 15*x + 6574 for x.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 16450 divided by -50?\nAnswer: -329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17645260 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, i: 5}. Give prob of picking 3 i.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uczi when four letters picked without replacement from yuczvvziuvvcyv?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10883975 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*u + 70056697 = 38*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/5)\/((-44)\/((-6600)\/(-45))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-65)\/(-312)*-4*54)\/(1\/((-1)\/(-1)))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*v + 26*v = 4*i + 36, 5*i - 14*v + 28 = -17 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0 - 12*o**4 + 35*o - 6*o**4 + 5*o**4 + 2 wrt o?\nAnswer: -156*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + 2*i**2 + 0*i**2)*((-12 + 1 - 2)*(-i + 4*i - i) + 12*i - 2*i + 0*i).\nAnswer: -32*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 353 divide 17004010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -9 + 13\/3*s**3 + 0*s**2 + 7*s. What is the derivative of i(r) wrt r?\nAnswer: 26*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -44 - 4. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1511 - -1526. Solve -9*g = 2*g - u*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 36*s**5\/5 + 83*s**4 - 168*s**3 - 1144*s**2 - 480*s + 660. Find j, given that h(j) = 0.\nAnswer: -10, -2, -2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000586802 to five decimal places.\nAnswer: 0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-6))\/((-4)\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 5 - 2)*(3*b + 7*b - 4*b + (-3 - 2 + 4)*(4 + 8*b - 12*b - 15)) to the form m*b + p and give p.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1377 is divided by 329.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from trrrrrrrh. Give prob of picking 1 h, 1 r, and 1 t.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert fbd38b (base 16) to base 8.\nAnswer: 76751613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 2 e, and 1 u when four letters picked without replacement from ddueded.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(1\/(6\/4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -663211*x + 3316054. What is w(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111100 + 11?\nAnswer: 100111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyayyyyaayyy. Give prob of picking 2 y and 2 a.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(152)\/sqrt(8) + sqrt(19))*-3)**2*5 - sqrt(76)*-6*5).\nAnswer: 60*sqrt(19) + 3424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k - 625 - 438*k**3 + 443*k**3 + 46.\nAnswer: 5*k**3 - 4*k - 579","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*t**2 - 80*t**2 + 11*t**3.\nAnswer: 11*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/(-4))\/((-5)\/(-10)). Let f be (-4)\/2*153\/(-34). Solve u*p = -f - 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3373 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**6\/b)\/b**5*(b\/((b**(-5)\/b)\/b)*b)\/(b\/((b*b**(-2)\/b)\/b)*b) assuming b is positive.\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of 0*a + 1\/24*a**4 + 0 - 1\/2*a**3 + 1\/30*a**5 + 11*a**2. Let t be o(-2). Solve -1 = t*f + 4*i, f - 3*i - 3 = 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 302223 = 2*o, 3*o = 4*r - 0*o - 172697. List the prime factors of r.\nAnswer: 5, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 119 + -231. What is the tens digit of (3\/(-6))\/(2\/x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -172170520 minus 18.7?\nAnswer: -172170538.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zozzzzzz. What is prob of sequence zz?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilometer in meters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 21*u. Let t(p) = 3*p + 10. Let f(d) = 2*d - 28. Let h be f(17). Let y(b) = -2*b - 6. Let s(x) = h*t(x) + 10*y(x). Determine s(w(o)).\nAnswer: -2*o**2 + 42*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 691*u**3 - 2*u + 2. Is v(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*g**2 + 26*g**2 - 12*g**2 + 0 - 2.\nAnswer: 73*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (-3 - -6) - -1162. Suppose s - g = -19. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**2. Let r(d) = 2*d - 44. Let s(l) = -11*l**2 + l - 2. Let q be s(2). Let u(p) = -3 + 4 - 3. Let n(x) = q*u(x) + 2*r(x). What is n(y(m))?\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0744 + -0.0544. Let s be 8\/12*(-6)\/14. What is the third biggest value in 0.4, s, x, 1\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 10:49 AM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1*-2.5\nAnswer: -2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70 - 30 + 10)*(-3*b**4 + 4*b**4 + 2*b**4).\nAnswer: -270*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -27.9.\nAnswer: -139.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of a**6\/12 + a**5\/2 + 3*a**4\/8 - 3*a**3\/2 + 5. Factor h(f).\nAnswer: f**2*(f - 1)*(f + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37895 and 55913.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5*y + 230 = -0*y, -5*y - 188 = 4*m. Let x be (m\/18 - -1)*-15. Solve -x = -4*b + 8*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - (sqrt(68) - sqrt(68)*-1))*-5 - -3*(sqrt(68) - sqrt(68)*2))\/(sqrt(20)\/sqrt(45) - sqrt(36)*-6).\nAnswer: 6*sqrt(17)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 4*r + 25, -2*r + 2*q = r - 10. Let a be r - ((4 - 1) + -4). Let u(x) = 5*x**2 - x + 1. List the prime factors of u(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.009306667 to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23417 + -23274. Calculate the greatest common factor of 1313 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -3 + 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 - 32. Is p + (-2425)\/(-1) - (-2 + 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 297906 divided by 3.\nAnswer: 99302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-288)\/(-1104)*19\/(-38)?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*r - 42*r = -161*r + 2730 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -340*v - 4809. What is y(-14)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - f**2)*(4*f - f + f) + (4*f - 3*f + 3*f)*(9*f**2 - 13*f**2 + 2*f**2).\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-four fifths of a gram?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7.1? (a) 0.1 (b) 1 (c) -2\/3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3357*h**6 - 8*h**3 - 12215*h**2 wrt h.\nAnswer: 402840*h**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0112609 rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - 26. Let c(t) = t**2 + t + 7. What is the remainder when c(j) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*x - 9*x, -4*q = -4*x - 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1515*n + 1481*n - 408 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*b)*(1 + 1 - 5) + 34*b - 93*b + 2*b.\nAnswer: -51*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 532583650 divided by 170\nAnswer: 3132845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34475?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 2. Let b be y(3). Suppose b*i = 7 + 23. Let c(s) = 3*s + 0*s + 5*s**2 + s**3 + 2*s + i. Determine c(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 i when two letters picked without replacement from tojtizs.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*a + g + 84 = 0, 3*g = 2*a - 88. Calculate the highest common factor of a and 369.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/15 and 25\/747564.\nAnswer: 3737820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/25 and -163\/5280.\nAnswer: 26400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11630877.\nAnswer: 3, 3876959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + (-2 - (-24 + 21 - (2 - 8))).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 10:50 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -54 at least as big as -63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9586.875 years in decades?\nAnswer: 958.6875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 130, 129, 128?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1225 + d**2 - 3*d**3 + 972*d + d**3 + 1225 to the form p + m*d**3 + y*d**2 + a*d and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - 3*j = -4*p - 159, 103 = -3*p + 20981*j - 20982*j for p.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 124?\nAnswer: -5\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*c + 558. Let k be c\/(-54) - 1\/6. Solve -k*j = 5*w - 36 - 4, -4*j + 35 = 5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/3)\/(x\/((((x*x**3*x*x)\/x)\/x)\/x)))\/((((x*((x**(-3\/4)\/x)\/x)\/x)\/x)\/x)\/(x*x*x**6)) assuming x is positive.\nAnswer: x**(185\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v - 3. Let m(n) = n + 4. Suppose 5*b = -2*y + 24, -4*y - 3*b = -2 - 74. Suppose 4*k + y = 4*i - 14, -k - i - 3 = 0. Give k*c(u) - 5*m(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 12*a**2 + 10*a - 6. Let c be v(-11). Suppose 15 = c*u, 3*f + f = 5*u - 19. Let q be (-50)\/18 + 4 + f. Is q greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 16*i**2 - 22*i + 21. Let p be g(14). Suppose 3*h + p = 5*c - 6*c, -210 = 2*c + h. Is c >= -106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21756 + -24791. Do o and -3037 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*f**2 - 65*f**3 - 10*f**2 + 68*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -5*d + 7, 4*d - 5 = -2*c - 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**7\/70 - 3*f**6\/10 - 7*f**5\/4 + 3*f**4\/2 + 18*f**3 + 2*f**2 - 114*f. Factor t(p).\nAnswer: -3*(p - 1)*(p + 1)*(p + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.8 - -0.4. Let j = o - 5.2. Is 1\/8 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182944173.\nAnswer: 3, 41, 1487351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1286790331?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 335 by 6.\nAnswer: 335\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+-62838395\nAnswer: -62838395.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-92)\/92*(-1)\/(-7)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 2. Let w be u(-2). Factor -w*q**3 + 4*q**5 - 2*q**5 - q**3 + q**5.\nAnswer: 3*q**3*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1480 - 2842 = -32*f - 5490 for f.\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5*r = r, 3*z = 2*r + 28. Suppose 2*o = -c + 6, -8*c + 4*c = z. Suppose 3 - 23 = -5*i. Solve o*d = i + 8 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-5)\/(g\/(g*(g\/(g*g*g**(-2\/3)*g)*g)\/g))*g\/g**(1\/9)*g*g**0*g*g assuming g is positive.\nAnswer: g**(-22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 + 346. Suppose -x = -7*u + 3*u. Suppose 5*k - 27 = 68. What is the remainder when u is divided by k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.37 and 0.195?\nAnswer: -0.07215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + -5)\/((-4)\/(-6)). Let s(k) = -19*k - 12. Let v(q) = -7*q - 4. Let a(t) = 3*s(t) - 8*v(t). Let l be a(o). Solve l + 2 = d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*j = -65*w + 35*w + 31*w + 6 - 16, 2*j = -w + 10 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -2\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-8)\/h**3)**(-2\/33)\/(h\/h**(-4)*h*h*h**(1\/2)*(h\/(((h\/(h*h*h**(-1\/9)))\/h)\/h))\/((h**(-2)\/h*h)\/h)) assuming h is positive.\nAnswer: h**(-247\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, m: 3, x: 1, a: 3}. What is prob of sequence ax?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (1 + (-7 - -13)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**4\/24 + a**3\/2 - 13*a**2. What is w(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11127 is divided by 119?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 82.68 + -82.78. Let o = -2.907 + -0.093. Let p = -4.04 - -0.04. Which is the closest to t? (a) -0.4 (b) o (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 43071 and 251811.\nAnswer: 73780623","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-38)*2\/(-12)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 3*i**3 - 445308*i**2 + 16524934572*i = 0.\nAnswer: 0, 74218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46*k - 163*k - 1040*k - 60*k**2 - 132*k - 513*k**2 wrt k.\nAnswer: -1146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 11*z**2 + 16*z + 421. Let f be t(-15). Do -718 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3306, -9587, -18764, -30837, -45806, -63671?\n\"Answer: -1448*r**2 - 1937*r + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2066399 + 42\nAnswer: -2066357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 801 a factor of 156195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 761368589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19194 and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (1 + 0) - 0. Let f(i) = -5*i + 3. Let r be (-6 - -6)\/1 - (-8)\/(-4). Let o(u) = 4*u - 2. Calculate r*f(q) + w*o(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**4\/12 - 7*h**3\/2 + 68*h**2. Let q be y(11). Is 2\/1105 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -3. Let d(k) = k**2 - k + 1. Does 7 divide d(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -103004644?\nAnswer: -103004652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 425?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*24\/(-792)*6\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-2\/7)*c*c*c))\/(c\/c**24)*(c\/c**(-6))\/c*c**10 assuming c is positive.\nAnswer: c**(261\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 u, and 1 j when three letters picked without replacement from {e: 3, j: 7, u: 4}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 56*i**2 - 16*i + 924. What is b(56)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(99) + (sqrt(99) - (sqrt(99) - 6*-3*sqrt(99)) - sqrt(99)) + sqrt(99)))\/((-2*(sqrt(27) + (sqrt(27) - sqrt(54)\/sqrt(2))))\/sqrt(3)).\nAnswer: -51*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.9 - 2. Let c = -0.2 - a. Let x = -0.258 - -0.058. Do c and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.093 - 171.793. Let h = -175 - y. Which is the nearest to 0.2? (a) h (b) 1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*l**3 - 268*l**3 + 3*l - 3*l + 128*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from yjj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(450))\/sqrt(6).\nAnswer: 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*l = 0, -l + 0 = 4. Is -23\/5 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21888 and 2304.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-39))\/((-2364)\/1773).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 78, -260\/9, -1\/4, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1071 (base 10) to base 7.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.691727 (b) 0 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 83 (c) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5*a = 3*x - 38, -3*x - 5*a - 7 = 0. Is 45 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - sqrt(39)\/(sqrt(9)\/sqrt(3)) - ((1*sqrt(39))\/sqrt(3))**2) + (-2 + 4*(sqrt(325) + 1*sqrt(325)))**2.\nAnswer: -160*sqrt(13) + 20791","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245521 is divided by 6461.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2 + 6 - 23 - 23 + 2*d + 0. What is k(18)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50272 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 609.636 millilitres in litres?\nAnswer: 0.609636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/7 (b) -1\/3 (c) -0.1 (d) 8 (e) -11\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 8*p + 23. Let b be u(10). Suppose 0 = -4*l - 20, -b*l = -w - w + 63. Suppose -22*g + w*g - 48 = 0. Is g a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**3 - 3*g**3 + 6 + 5 - g**3.\nAnswer: -g**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwcw when four letters picked without replacement from {c: 2, i: 1, p: 5, w: 6, x: 2}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 935*x. Let c(a) = -a. Give y(c(b)).\nAnswer: -935*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65166.62 weeks to nanoseconds.\nAnswer: 39412771776000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-5)*b*b*(b\/(b**(-2\/7)\/b))\/b)\/(b**(1\/2))**(-3\/10) assuming b is positive.\nAnswer: b**(-79\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 3*z**2. Let y be 734\/(-6) + 1\/3. Let s = y + 66. Let x be (s\/21)\/(4\/(-6)). Let q(m) = -m**3 + 4*m**2. Calculate x*i(d) + 3*q(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -93, -229, -425?\nAnswer: -681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 2*i + 12. Let f be i\/((-2)\/(-20)*2). What is the second derivative of 12*r**5 - 25*r**5 - 3*r + f*r**5 wrt r?\nAnswer: 40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 15*m**2 - 2*m. Is 31 a factor of b(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21369 is divided by 21331?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 - 173\/4. Put c, 3\/5, 5 in decreasing order.\nAnswer: 5, 3\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80 and 128?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -624*g - 625*g + 49 + 1251*g. Suppose -3*j + a + 4 = 0, -3*a + a = -j + 8. Let p be x(j). Are p and 49 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 9 = 8*f. Let u be 7*(f - (-38)\/(-14)). Solve -u*y + y = 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**6\/(((s*(s**3*s)\/s)\/s)\/s*s))\/((s**(-3)*s*s*s)\/s*s**(-1\/4)))**(2\/103) assuming s is positive.\nAnswer: s**(17\/206)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/24 and -59\/5948.\nAnswer: 35688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 249\/13 - 2215\/117. Let k = 347 + -2425\/7. Which is the closest to 1? (a) -2 (b) k (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -65128 and 0.68.\nAnswer: -44287.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1003?\nAnswer: 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8232507*i**3 - 107593547*i**2?\nAnswer: -49395042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22905 - -22907. Suppose -3*j**3 - 3\/2*j**y - 3\/4*j**5 + 3*j**4 + 15\/4*j - 3\/2 = 0. What is j?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y**3 - 4*y**3 + 0*y**3)*(1 + 1 - 1) - 2*y**3 + 2*y**3 + 2*y**3 as v*y + b + w*y**3 + o*y**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-28)*((-20)\/96*-4)\/(4\/(-24))?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: a674 (base 13) to base 3\nAnswer: 1011122210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 r when two letters picked without replacement from {g: 7, r: 5, q: 3, d: 1}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h. Let i be w(2). Suppose -14 = n - 5*q, n = -0*n + i*q - 2. Let c = -3 - -7. Calculate the remainder when n is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a = 16*a - 2. Let b be 39 - (a - 0) - 3. Suppose -5*j = -f - 14 + b, -3*f + j + 30 = 0. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 184 or 1645\/9?\nAnswer: 184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 21*y**3 - y**2 - 2. Let l(v) = v**2 + 1. What is 2*l(f) + o(f)?\nAnswer: 21*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**3*t**(-6))**(14\/3)*((t\/(t**0*t)*t*t)**(-12))**(-12) assuming t is positive.\nAnswer: t**(752\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w - 465 + 457 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -58*w - 3. Does 17 divide t(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - 4) + -46 + 27 + 15.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*y**3\/5 - 2436*y**2\/5 + 184356*y\/5 - 4269024\/5 = 0. What is y?\nAnswer: 54, 488\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 10 - 14. Let g(l) = l**2 - l + 1. Let c(u) = u**2 - 2*u + 2. Let b(x) = k*c(x) - 4*g(x). Let s(j) = -8*j. What is b(s(h))?\nAnswer: -128*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**5 + 97185*h**4 - 625823350*h**3 + 1309956809860*h**2 + 162302438133960*h - 670129033673440 = 0. Calculate h.\nAnswer: -121, 4, 6518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 968\/13915*10\/(-8).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 - -102. Is l a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -176 + 170. Let w be (-34)\/q - 14\/21. Sort w, -10, 1 in descending order.\nAnswer: w, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 13 = 16 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52 - -67. What are the prime factors of u?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1807, -5.8, 4.11?\nAnswer: -0.1807","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1595 - -1598. Let x = -0.1 - -1.1. What is the nearest to p in x, -5, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t + 86 = -6. Suppose -2*r - 7*r = -t*r. Which is the nearest to -0.1? (a) 0.1 (b) r (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -878.\nAnswer: -87.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -197*i - 14. Let s be w(-2). Let t = s + -374. Let g(r) = -r**3 + 5*r**2 + 6*r - 1. Give g(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**2 - 10*f**2 - 20*f**2 - 4*f**2.\nAnswer: -31*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 587*q**2 - 1042*q + 74841. Calculate j(-585).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 26277 + 26295 = a, -3*w - 4*a + 33 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**2\/5 + 4247*j + 21236\/5 = 0 for j.\nAnswer: -1, 21236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -10*f**3 - 11*f + 29. Let h(j) = 5*j**3 + 6*j - 15. Suppose 7*m = -m - 88. Let w(t) = m*h(t) - 6*l(t). Differentiate w(g) with respect to g.\nAnswer: 15*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16535 by 244.\nAnswer: -16535\/244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11688? (a) 1 (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 12, t: 6}. Give prob of sequence thhh.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 8320*n**2 - 1842*n**2 + 5689*n**2 + 8528*n**2 - 1703*n**2 in the form s*n + a + t*n**2 and give t.\nAnswer: 18992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1333 by 60225.\nAnswer: 1333\/60225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 131*b**4 + 11728*b**3 - 35178010*b + 2.\nAnswer: 1572*b**2 + 70368*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2904.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g + 36. Determine v(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 8*i**2 - i - 6. Let o be x(-8). Is (o + 0)*(-5 - -6) + 675 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(342)\/(sqrt(9) + sqrt(9)*-2) - 1*sqrt(38)*1)\/((sqrt(10) - sqrt(40)\/(sqrt(4)*2))\/(sqrt(20)\/sqrt(4)*-5)).\nAnswer: 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-7))\/(850\/(-175))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1)*i**(-5))\/(i**(4\/5)*i**(-7\/2)*i) assuming i is positive.\nAnswer: i**(-43\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 a, and 1 q when three letters picked without replacement from {c: 3, q: 3, a: 4, f: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.209307 rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-15)\/2 - (-51 + 43)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(1 - 5 + 2)*(22 + 1473*q - 6 - 1448*q).\nAnswer: 100*q + 64","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + 1\/(-3)*3. Suppose -5*f + 23 = -v, -2*f - o*v = -0*f - 16. Let -4*j**5 + 3*j**5 + j**4 - j**2 + 0*j**3 + 2*j**3 - j**f = 0. Calculate j.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1117396, 2234791, 3352186, 4469581?\nAnswer: 5586976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2287359?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 9*z**2 - 39*z + 14. Calculate the remainder when a(-10) is divided by 38.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-2\/11)*x*x*x**(-17\/3))**(-11\/2) assuming x is positive.\nAnswer: x**(41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2548481012?\nAnswer: 2, 7, 11, 1831, 4519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1685852 and 7465916?\nAnswer: 52261412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (78 - 89) + (-1 - 1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3072 and 22?\nAnswer: 33792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3431 - 3428. Solve n*c = -29 + 41 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -137 + 137.0000952. What is u rounded to six decimal places?\nAnswer: 0.000095","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*j**2 + j**2 + 3*j**2)*(4 - 5 - 2)*(3*j + j + 0*j) to f*j + t + y*j**3 + r*j**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 35*s - 12*s**2 - 4*s**2 + 7*s**2 - 35*s. Let p(a) = -3 + 14*a**2 - 10 + 13. Determine p(q(j)).\nAnswer: 1134*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 227*i**6\/30 + i**3\/6 + 39*i**2\/2 + 309*i. Find the second derivative of d(w) wrt w.\nAnswer: 2724*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/9*15)\/(-1). Let v be -2 + (-2 - m - -7). What is the remainder when 84 is divided by 177\/v + -4 + (-124)\/(-32)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 155 and 55?\nAnswer: 1705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17743 - -17734. Let o(n) = 3*n**2 - 9*n - 6. Let x be (-20)\/(-8)*24\/(-15). Let h(c) = -c**2 + 4*c + 3. Give x*o(g) + y*h(g).\nAnswer: -3*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**3 + 2*c**2 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6, -7, -10, -15, -22, -31, -42?\n\"Answer: -p**2 + 2*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 7*z**2 + 4*z - 1. Let u be ((-2)\/8)\/((-10)\/280). What is the tens digit of x(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k + 26. Let h(t) = 9. Let d(v) = 7*h(v) - 2*n(v). Let s(c) = -c. Calculate s(d(y)).\nAnswer: 2*y - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2241037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 161513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15606\/3468)\/((-27)\/(-510)).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 74493 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-27) - (82\/72 + (-2)\/3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 5. Solve -21 + 1 = -z*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 8*q = -5*q + 4, 4*h = -3*q - 14 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l - 6. Calculate the remainder when j(13) is divided by (-7)\/2*(-10)\/5.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 54 = 3*o - 48, -5*o - 2*k + 39 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/(-24)*48\/(-90). Let t = 2 + -1.5. What is the biggest value in t, j, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1554238, 3108477, 4662716, 6216955?\n\"Answer: 1554239*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -143 + 217. Let q = 88 - j. What is the second derivative of -q*c + 18*c - 33*c**4 - 11*c wrt c?\nAnswer: -396*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {h: 2, n: 2, j: 1, v: 7, y: 4}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 128744438297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 37*j**2 - 42*j - 133. Let c be p(-38). Let b(w) = -4*w + 90. Let l be b(c). Solve 13*i - l*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*((b\/b**8*b*b*b)\/b)\/b))**(3\/13))**(-4) assuming b is positive.\nAnswer: b**(-72\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -4*n**4 + 205356*n**3 + 2464756*n**2 + 4724436*n - 7394544 = 0?\nAnswer: -9, -4, 1, 51351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 806 = -3*b + 543, -3*b = 2*r - 1337. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -1c9b8b5?\nAnswer: -1c9b8b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/4914147 or -1?\nAnswer: -2\/4914147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*m + 2853 = -1492. Suppose s - 4*p + m - 799 = 0, 3*s = 5*p + 2139. List the prime factors of s.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71.592 times 0.0054\nAnswer: -0.3865968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/(-65)*10\/(-24).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/60)\/((-882)\/(-525))*(-2)\/5\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6781*p**2 - 8123*p + 5 wrt p.\nAnswer: -13562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71284 is divided by 14252?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 106.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/3 (b) -2 (c) 2 (d) -0.1 (e) -1407\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10010000110010111010111 (base 2) to base 6\nAnswer: -245410011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - b3?\nAnswer: -b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of g**5\/80 + 5*g**4\/16 + 25*g**3\/8 + 125*g**2\/8 - 115*g. Suppose l(m) = 0. Calculate m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 86 + 764. Suppose -2*t + 176 = -6*t. Calculate the remainder when (-8)\/t + f\/22 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 7361?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 747.3 - 690. Let i = g - 58. What is i rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from owoozwoozw. Give prob of sequence zow.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 4*s = 17, 4*s - 22 = -r - s for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a. Suppose -5*p = 14*p - 76. Suppose 0 = q + 5*o - 66, -2*q + o - 150 = -p*q. Calculate the smallest common multiple of q and g(4).\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424925 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**3 - 3*x**3 - 519 - 537 + 1578 - 3*x**3 - 537.\nAnswer: -6*x**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 7) to base 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 50*l**2 - 7*l + 342. Calculate n(50).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 - -31. Let r be ((-9)\/(-4) - (5 + -2))*d. Solve 1 = -2*w - r for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 140 and 2080.\nAnswer: 14560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9414856 = -32*x + 364*x. What is the ten thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 2. Suppose 2*h - b = 2. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**4\/4 - 21*d**3\/4 - 15*d**2\/4 + 97*d\/4 - 15 = 0. Calculate d.\nAnswer: -20, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 532, 1053, 1576, 2101, 2628?\n\"Answer: i**2 + 518*i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4*t + t. Solve t = 11*a - 6*a - 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 72190 or 72191?\nAnswer: 72191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4*5\/(-12))\/(10\/12). Put l, -7, -4 in descending order.\nAnswer: l, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 4*t**2\/7 + 85023164*t\/7 - 510139128\/7 = 0.\nAnswer: -21255797, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/((-104)\/(-32)))\/((-1)\/(-2)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1 (b) 1\/4 (c) -11 (d) -60\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 10 + -1 + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 647, 2642, 6725, 13514, 23627, 37682, 56297?\nAnswer: 80090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -5364273713 to the nearest 100000.\nAnswer: -5364300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-432)\/25704)\/(57\/(-2394))?\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3002799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 573719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -1. Let x be (2 - (-18)\/15) + o. Sort x, 1\/4, -1.\nAnswer: -1, 1\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-3056)\/256 - (-39)\/144.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5263 = 2*c - 4399. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2046*a**3 + 551*a.\nAnswer: -12276*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(6\/(-56)))\/(-20*10\/60).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 737133*h*m**3 + 3*m**3 + 23026*m + 4 wrt h.\nAnswer: 737133*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*g - 10, -5*g - 28 = -p - 3*p. Suppose p*q = -5*l + l + 36, 5*q + 2*l = 106. Calculate the smallest common multiple of q and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 403*k + 211. Let p be q(2). Calculate the highest common factor of 226 and p.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10872 = -827*z + 744 + 789 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15725718 - -5?\nAnswer: -15725713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3893?\nAnswer: 17, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7\/172 (b) -2\/13 (c) -47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38054 - 38023. Let c(n) = -10*n. Let q be c(-1). Solve h = 4*o - 3*j, -4*j - q = -4*o + 26 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mjm when three letters picked without replacement from pmjjmme.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-1 + sqrt(162))**2 - sqrt(162))*3 + -1.\nAnswer: -81*sqrt(2) + 490","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -134\/25 (b) 53.3 (c) 6 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 11*y**2 + 17*y - 17. Calculate the remainder when 161 is divided by k(12).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5411*n - 2707*n + 10*n**2 - 2706*n.\nAnswer: 10*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54.04 + 53.74. What is the fourth biggest value in o, 9, -0.05, 0.5, -0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three sixths of a century in months?\nAnswer: 4600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 8*b + 8. Let u be f(-9). Let w be (-18)\/8 + u\/(-4). What is the units digit of w\/10 - (-108)\/15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, j: 3, m: 1, b: 3}. Give prob of sequence jvm.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2326 + -2330. Which is the third smallest value? (a) o (b) 12 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 48890450?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118065 divided by 84.\nAnswer: -39355\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 549 is divided by 31.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2737)\/(-204))\/23)\/(4\/(-16))*15.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**5\/7 + 670*a**4\/7 - 77794*a**3\/7 + 1675242*a**2\/7 - 1918800*a\/7 - 22987800\/7 = 0. What is a?\nAnswer: -430, -3, 5, 27, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*p - 278292 = 0, -8 = -0*p - 4*p. Let c = m - 57142. Round c to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - a - 2. Suppose 0 = -4*r - 2*b, r + 0*r = 4*b. What is o(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 5:24 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 4:17 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 10. Let b be (1 - -28) + j + 2. Suppose 2*f**2 - 4*f - b + 33 = 0. Calculate f.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 12:45 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 5*g + 0*g + 5869 = 0, -g = -4*c + 5839. Suppose -3*k = 5*z - 4383, -4*z + 3*z + c = k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in -0.4, -1\/571, 2\/63?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 2:19 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate w*z**4 + 223*w - 2*z**4 + 225*z with respect to z.\nAnswer: 4*w*z**3 - 8*z**3 + 225","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + 1 - (-6)\/3. Let j be 44\/16 - 1\/(-4). Put j, p, -1 in decreasing order.\nAnswer: p, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of 0 + o**3 + 1\/24*o**4 + 0*o - o**2. Let f be x(-7). Which is smaller: f or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 3*o - 24 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26043015 divided by 1.\nAnswer: 26043015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -7*a**2. Let j(t) = -188826*t. What is c(j(s))?\nAnswer: -249586807932*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 125037330000 rounded to the nearest one million?\nAnswer: 125037000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 39 = 13*k. Suppose k*h - 4*n = -0 - 11, -5 = 5*n. Let z(d) = -d + 2. Calculate z(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 4*j = 66, -2*o = 2*j - 14340 + 14302 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -415.8, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6, 3, -2, -9, -18?\n\"Answer: -q**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -3. Suppose -6*i + 5 + 7 = m. Suppose -3*g + 2*s = -4*g - 3, i*g - 14 = s. Solve -5 = -g*n - 3*q, -2*q + 10 = 4*n + 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 37*z**2. Let t be -2 + 7\/7 + 3. Let n(y) = 27 - 30 + 3*y**t + 3. Give n(u(m)).\nAnswer: 4107*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -3112?\nAnswer: -3103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105993516.\nAnswer: 2, 3, 8832793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.7 in 5, 665, 11693?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 509930195 and -0.4.\nAnswer: 509930194.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70959, -567039, -1913017, -4533675, -8853795, -15298159, -24291549?\nAnswer: -36258747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 206 - 207. List the prime factors of (-1 + h)*(-7 + 1215\/(-10)).\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31068 is divided by 862.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 589 = 163*q + 100 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -16*i**2 + 2067*i - 150. Calculate t(129).\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s - 5. Let j be ((-121)\/4)\/11*4. Determine g(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0247 * -58\nAnswer: -1.4326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.248084278 to 3 decimal places.\nAnswer: -0.248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -84501*g - 338022. Give b(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 (base 13) in base 5?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7358 and 1132?\nAnswer: 14716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + 0 + sqrt(475) - sqrt(475))**2*5.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/7)\/(-1) + 333\/63. Suppose 0 = 2*z - 4, t*n + 5*z - 89 = 66. Which is bigger: 27 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-9))**(-31)*b**(-4\/5)*b*(b**(-19)*b)\/b assuming b is positive.\nAnswer: b**(1301\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -1553?\nAnswer: 1544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22899492?\nAnswer: 2, 3, 7, 11, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.202 * -0.118.\nAnswer: -1.203836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1759986 to the power of 1\/2, to the nearest integer?\nAnswer: 1327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.19041 micrograms to nanograms.\nAnswer: 33190.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1785 - -1790. Suppose 3*u - 1 + 7 = o, -3*o - 12 = -3*u. Sort -3, o, s in decreasing order.\nAnswer: s, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6785 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 214\/35 - 7412\/1155. Calculate the common denominator of k and 107\/60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -8*n + 36. Let f be y(4). Let m be 1 + (-8483)\/f - 1\/4. What is m rounded to the nearest 100?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6))**(-8\/17) assuming z is positive.\nAnswer: z**(48\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 12*o**2 + 13*o + 2. Let i(g) = -g + 3. Let n be i(0). Suppose -n*j + 28 = j. What is the lowest common multiple of j and c(-13)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.02 to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 12, 4, -6, 0.3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5627.28 litres?\nAnswer: 5627280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 85\/(-20) - -5 - 1. Suppose -2*s + 4 = -0*s. Let n be s\/((-8)\/14) - -3. What is the biggest value in n, w, -1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -6 + 0 - -5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1679, 10480, 34373, 80906, 157627, 272084, 431825, 644398?\n\"Answer: 1258*g**3 - 2*g**2 + g + 422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25.09 + 24.1. Let b = j + 0.94. Let m = 69.85 + b. Round m to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 28538.\nAnswer: -5\/28538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**3*q**3 - 138*g**3*y**2 + 4*g**3*y - g**2*q*y - 4*g*q + 360*q**3*y**2 - 104*q**3*y wrt y?\nAnswer: -276*g**3 + 720*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5567\/35160*-27*(-10)\/3.\nAnswer: 57\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10558 + 232369\/22. Let f be (-8)\/(-1) - (-8)\/(-4). Find the common denominator of (f\/(-40))\/(12\/424) and n.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.011 in 2\/13, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 11) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i**3 - 5*i**2 - 19*i - 11. Let r(m) = -2*m**3 + 2*m**2 + 10*m + 6. Let x(l) = 3*o(l) + 5*r(l). Factor x(z).\nAnswer: -(z + 1)**2*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.92 + -17.92. Which is the second biggest value? (a) 18 (b) x (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5*o + 5. Let l(b) = -3*b. Let x(z) = -z**3 - 10*z**2 - 10*z - 8. Let a be x(-9). Let q be l(a). Let v(n) = -26*n - 26. Determine q*v(j) - 16*m(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 2, 5, -51630, -3 in increasing order.\nAnswer: -51630, -3, 2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(-5)\/o)*o)\/o*o*o**(-2\/7)\/o)\/(o**0\/(o*(o\/o**(2\/9))\/o))*(o**(3\/5)*o**0\/o)\/(o\/(o*o\/(o**(2\/3)*o)))**39 assuming o is positive.\nAnswer: o**(-5956\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 12) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a meter in centimeters?\nAnswer: 1060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 p when three letters picked without replacement from {o: 2, q: 1, p: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/27*-3)\/(14\/4).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6046 (base 11) in base 5?\nAnswer: 224121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6399169 and -0.3.\nAnswer: -1919750.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -144.835 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (-12 - -8) + (-77)\/(-1) + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-368)\/(-2394392)*-91)\/(3\/(-13))?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -739 + 740. Let j be 2 + (-1)\/(-8)*-13. What is the smallest value in l, 0.1, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 8 (b) -0.5 (c) 2 (d) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 1.51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) -0.3 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 850 and 367150.\nAnswer: 312077500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1.86, -3\/10, -0.8, -2?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -592 (base 10) to base 12\nAnswer: -414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1075298.\nAnswer: 2, 7, 89, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24*x**2 + 17527158*x - 1195808369 wrt x.\nAnswer: -48*x + 17527158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/28*14\/(-4)*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (-4 - -4)) + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*u**2 + 184*u**2 - 562*u**2 + 185*u**2 - 14*u**3.\nAnswer: -14*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -91361 smaller than 759?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 5. Suppose -20 = -6*l + v*l. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5 = -7. Suppose -j*b + 10*b = 0. Put b, 2, -1 in decreasing order.\nAnswer: 2, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 997 - 70. Suppose -2*n - j = -2*b + 3*n, -951 = -2*b - 3*n. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -h**8\/80640 + h**7\/4032 - h**6\/480 + h**5\/2 + 8*h**2. Let s(q) be the third derivative of f(q). Factor s(r).\nAnswer: -(r - 3)*(r - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p**2 + 2*p - 3. Let q be h(-2). Let y(w) be the second derivative of 3\/20*w**q - w + 0*w**2 + 0*w**3 - 1\/4*w**4 + 0. Factor y(c).\nAnswer: 3*c**2*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qpepvaeypaqp. Give prob of sequence pyqp.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111021200 (base 3) to base 12.\nAnswer: -33939","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1676 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/4 - (-10)\/(-8).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 620 (base 7) to base 3.\nAnswer: 102102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -32 and -1526.96.\nAnswer: 48862.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 115629*v. Let i(w) = -2*w**2. Calculate i(s(b)).\nAnswer: -26740131282*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 108?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 5.3, 0.1, 849?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 less than -2301?\nAnswer: -2295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-2*sqrt(19) - (sqrt(19) - (sqrt(171) + (sqrt(171) - (2*sqrt(171))**2))) - (sqrt(19) + 0 + sqrt(19) + -2)*4.\nAnswer: -676 - 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ubbpzbujbpjzp. What is prob of sequence zub?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 59 and 2773?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*2*sqrt(242) + sqrt(242) + 2*sqrt(242)*-2)*6)**2 + 2.\nAnswer: 217802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 0. Let v = -4 + 9. Suppose i = 5*y - 2*w, -y = y + v*w - 7. Sort -3, y, 5 in increasing order.\nAnswer: -3, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(-65))\/(18\/(-45))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-343)\/(-343)*1\/(10\/74))\/(3\/15)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4 = -36. Let r = l + 11. Let m = -7 - r. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-1)*(-13)\/(-26).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/2*5\/3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 16*z**4 + 179*z**3 - 1313*z**2 + 1981*z - 929. Let b(s) = -6*s**4 - 60*s**3 + 440*s**2 - 660*s + 310. Let t(i) = 11*b(i) + 4*g(i). Factor t(x).\nAnswer: -2*(x - 17)*(x - 9)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g. Let x(q) = 139836393*q. Give x(s(n)).\nAnswer: 279672786*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 201376 at most as big as 201377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 + -18 - 11) + (0 - 2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 108618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 171 or 192?\nAnswer: 171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1154, 1190, 1222, 1250, 1274?\nAnswer: 1294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320 + 136 = 3*q. Suppose -4*v = -i - q, -3*v + 5*v = -i + 82. What are the prime factors of v?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-8)*-2*(-232)\/(-58).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of 1\/3*t**3 + 8\/15*t**6 + 0*t**2 + 0*t**4 + 0*t**5 - 10*t + 0. What is the second derivative of q(m) wrt m?\nAnswer: 192*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b + 821. Let t(r) = -4*r - 2054. Let k(s) = -5*h(s) - 2*t(s). Let c(w) = -w**2 + 3*w - 3. Let y be c(3). Calculate k(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 247*z**2 + 3946 - 3946.\nAnswer: 247*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5*z + 10 = 0. Let w be (-17)\/(-5) + 4\/z. Suppose 0 = -4*f - 4*g + 80, -w*f - 4*g + 60 = -5*g. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 52*l**2 + 2*l + 1. Suppose 5*k + 41 + 79 = 0. Let x = 19 - k. What is the remainder when j(2) is divided by x?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-24)\/(-3))\/((-6)\/27))\/(630\/(-315)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 15 = -0*k. Which is the smallest value? (a) k (b) 0.3 (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/25 of a centimeter?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-319)\/(43065\/25920)*3\/(-6)?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of -18 - -27844 - (2 + (-11 - -3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -23*t. Let z(l) = 158*l + 1. Determine v(z(n)).\nAnswer: -3634*n - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 79*a = -90*a + 923484. List the prime factors of a.\nAnswer: 3, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1253 - 3761\/3. What is the nearest to 192 in 1\/2, j, -0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87 - 93 = -308*t + 320*t for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 773, 778, 793, 824, 877, 958, 1073, 1228?\n\"Answer: o**3 - o**2 + o + 772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 434104 and 78928?\nAnswer: 868208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12073\/14 + -864. What is the common denominator of (-473)\/(-70) + (-12992)\/(-8120) and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-112)\/(-24)*(-30)\/(-7). Suppose -4*a = -5*y - d, 20 = 2*y + 3*y + 4*a. Solve -5*v = -3*b + 23, -3*b - b - v = y for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154140 (base 10) in base 6?\nAnswer: 3145340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8028625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*w**3 + 5 - 32*w**3 - 5 - 14*w**3 + 15*w**3.\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 77.434 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 1. Let z(p) = -p**3 - 21*p**2 - 34*p + 82. Let v be z(-19). Sort v, u, 5 in decreasing order.\nAnswer: v, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -577412 (base 10) to base 4.\nAnswer: -2030332010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35871497*v**3 + 52988247*v**2?\nAnswer: -215228982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 312562 and 2219.\nAnswer: 2187934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -34, 66, 5, -38.55, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y - 7*y + 2*y)*((-1 - 5 + 3)*(0 + 2 - 1) - 1 + 4 - 2 + 2 - 4 + 1) as a*y + d and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxx. Give prob of picking 2 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m - 7. Let o be (-5 - -3)\/(2\/10). Is z(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.124+-0.244\nAnswer: -0.368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/294930 and -4\/22997.\nAnswer: 233879490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/19, 2\/7, 1, 1\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3649, -2993, -21025, -56141, -114035?\nAnswer: -200401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-2\/3)*z)**(-4\/17)*(z*z**0*z*z)**(-9\/4) assuming z is positive.\nAnswer: z**(-1489\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4218 + -4218.0001819. Round x to five decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 10 = -v. Find the third derivative of 8*q**4 - 11*q**v - 3*q**2 + 20*q**2 wrt q.\nAnswer: 192*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 95*q + 60 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.11 and -6.1392.\nAnswer: -6.0292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7853040 is divided by 170718.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132802, 265632, 398444, 531232, 663990?\nAnswer: 796712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 489 + -65. Let c = 424.364 - z. What is c rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3\/7 + 26\/77. Which is greater: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-494 + 494 + 152*q)*(-2*q**4 - 3*q**4 - q**4).\nAnswer: -912*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 10 = 4*x - x, -5*x = -4*i + 8. Let p = i + -27. Is (1 - 1)\/(-1) - p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4, 0 = -2*f - 2*s + 3*s + 8. Solve 3*v - 14 = 4*y, -y - 14 = f*v + y for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -385 divided by 1424.\nAnswer: -385\/1424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1326978\/137 - 9686. What is the biggest value in -4, 1, -3\/2, z, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s - 2362 + 268 - 1791 = 98*s for s.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-52)\/(-6) - 0)*3. Let j be ((-2)\/o)\/(1\/(-2)). Suppose -u = -4*s + 4*u, -4*s - 5*u = -40. What is the nearest to -1\/3 in -1\/3, s, j?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + be00?\nAnswer: bdee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17494858.\nAnswer: 2, 19, 23, 37, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5933.154 millilitres to litres.\nAnswer: 5.933154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18889 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0015341 rounded to five decimal places?\nAnswer: -0.00153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 u when three letters picked without replacement from {u: 2, j: 3, t: 1, n: 3, w: 1, i: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 4*i + 12, 86*i = 88*i + 15*t - 50 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*a**3 + 48*a**2 - 4725617*a + 356416188 wrt a?\nAnswer: -6*a**2 + 96*a - 4725617","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 15*b**2 + 16*b + 8. Determine a(14).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102 (base 4) in base 11?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -25*a + 30. Let h(c) = -12*c + 15. Let o(s) = -5*h(s) + 2*p(s). What is the first derivative of o(z) wrt z?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 3*j + 5. Suppose 4*z = j*z. Suppose -7*w + 3*w + 32 = z. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l - 5. Let t(h) = -h + 11. Let v be t(-9). Suppose 2*f = -3*f + v. What is the remainder when j(6) is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (1 + -2 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-87))\/((37\/111)\/((-5)\/(-60)))?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 2)*(5 + 6). Solve 3*n - w = -16 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2 = 0, -2*s - 3*x - 3 = -9. Let r(a) = s - 14 + 26 + 2*a. What is r(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -92835, -92821, -92791, -92739, -92659, -92545, -92391, -92191?\n\"Answer: z**3 + 2*z**2 + z - 92839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -333 - 9. Let r = v - -309. Is -1\/2 bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -138*-1.8\nAnswer: 248.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 294 a factor of 3859666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2))\/(1\/(-1))*90\/18.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3373265314 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 5*i - 19, -16 = -a + 2*a + i. Let q be -1*(a\/3 + 3). What is the nearest to q in 1, -1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 304 - 302. Suppose -3*z + 5*m = -2*z - 2244, -2*z - c*m = -4548. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 450801629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 324*r + 513 - 4753 - 2564. Solve -20*k = -41*k + r for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22944, -45919, -68894?\nAnswer: -91869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 549 (b) -0.4 (c) 29 (d) 1.5 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355419973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 12 = -4*z, -2*d - 12 = 4*z - 6*d. Suppose z = -3*k + 3*t + 3639, -k + 2446 = k + 3*t. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - 26?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 - 250*r**2 + 3755*r - 17550.\nAnswer: 5*(r - 27)*(r - 13)*(r - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d - 3. Let w(i) = -10*i + 7. Let c(u) = 10*u - 6. Let a(h) = -2*c(h) - 3*w(h). Let b(v) = 2*a(v) - 7*x(v). Let j be (1 - 1)\/(-8 - -10). Give b(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 660700110 and 1710?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 - -49. Let r be (-39)\/9 + (q - 16\/(-4)). Let z be 14\/(-24) + (-10)\/15. Which is the second smallest value? (a) 4 (b) r (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 4*t**5\/5 + 12*t**4 - 16*t**3\/3 - 480*t**2 + 7301. Suppose m(a) = 0. What is a?\nAnswer: -10, -6, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-168)\/40)\/((-16)\/5 - -3). Solve -d = -3*o + m + 3*m, 5*o - 3*m - 24 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.5 - 2. Suppose 102 = 21*n - 45. Let p be (-60)\/70*n*2\/18. What is the second biggest value in p, 0.5, -0.3, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + 5. Let x = 19 - u. Let p = 12 - x. Solve -p*f + 2 = -3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -13*a**2 + 46*a + 1. Let z(k) = 6*k**2 - 20*k. Calculate 4*c(j) + 9*z(j).\nAnswer: 2*j**2 + 4*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/28 of a week in minutes?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157 + 140 = 4*t - 3*g, -41*t - 2*g - 207 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1258 - -2465\/2. Let i = l + 25. Sort i, -0.3, -4.\nAnswer: -4, i, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13980*g - 90*g**2 - 13980*g + 368*g**2 + 125*g**3.\nAnswer: 125*g**3 + 278*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/125 and 33\/25?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-61)\/183)\/(2\/30)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 2:49 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55533 or -944070\/17?\nAnswer: -944070\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of r**5\/70 - 2*r**4\/21 + 5*r**3\/21 - 2*r**2\/7 + 1266*r. Factor l(p).\nAnswer: 2*(p - 2)*(p - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 336.29 - 336.69. Which is the fourth biggest value? (a) 1 (b) 2\/1103 (c) h (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x = 9*x + 24. What is the smallest common multiple of x and (-7 - -4)\/(3\/(-21))?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-7 + -6 + (3 - -3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(19) - sqrt(304)*-5) + -2 + sqrt(19) + -3)*5)**2.\nAnswer: -4840*sqrt(19) + 230384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a kilogram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 - 289 - 503 + 1080 - 288.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 12:39 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 125443971 a multiple of 1593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -143133 - 8690*w + 143133 to l + i*w and give i.\nAnswer: -8690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mjjsmsjskekemkes. Give prob of sequence jjkj.\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2.2, 0.2, -821?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 418 and 675686.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 212.\nAnswer: -7\/212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11418.\nAnswer: 2, 3, 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48.2 + -48.3. Let v = 0.1 + -0.4. Let k = -813 + 810. Which is the closest to k? (a) 0.4 (b) v (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.097? (a) 1 (b) 1.1 (c) 2\/5 (d) -6 (e) 0 (f) 1.47\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 8:21 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*j**2 + 10*j**2 + 24*j**2 + 2*j**3)*(-4 - 1 + 4) + 0*j**3 + 0*j**3 - j**3 + (0*j**2 + 2*j**2 - 3*j**2)*(0*j + 4*j - 2*j).\nAnswer: -5*j**3 - 23*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p + 1. Let y be (-4)\/(-18) + (-140)\/63. Let o be x(y). Suppose o*i = 95 - 10. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -476, -1 in decreasing order.\nAnswer: 2, -1, -476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -173*u - 15*u + 569 + 183 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-42)\/15 - 12\/(-6). Which is the third biggest value? (a) -4 (b) 0.2 (c) s (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/544733 or -1?\nAnswer: -6\/544733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**5\/30 - u**2. Let m(k) = -58*k + 0*k**2 + 8*k**2 + 58*k. Calculate l(m(y)).\nAnswer: 128*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.472 + 0.002. Let m = -0.477 - j. Round m to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (79177\/14)\/((-4)\/40*-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 27*k - 438. Give q(16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + (sqrt(275) - (-1 + sqrt(275))))**2 + -2 + (sqrt(275) + 0)**2 + -1 - 3*(3 + sqrt(275))**2*2.\nAnswer: -1156 - 170*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/(-9) - (-28)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -t**4\/6 + 146*t. Let k(i) = -15*i + 3. Give r(k(g)).\nAnswer: -450*g**2 + 180*g - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54578147 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/4*u**3 + 0*u - 7\/2*u**2 + 0 + 1\/4*u**4.\nAnswer: u**2*(u - 2)*(u + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*p + 0*p - p - 2*p - 3*p - 10*p - 3*p - 4 - p + 4 + (-1 + 0 + 0)*(-2*p + p + 2*p) to u*p + t and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*n + 6*n - 3*n**3)*(3*n + 11 - 11) + n + 2*n**4 - n to v + s*n + j*n**2 + a*n**4 + b*n**3 and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2. Let r(y) be the first derivative of -y**6\/72 - 5*y**3\/3 - 4. Let b(i) be the third derivative of r(i). Determine b(t(p)).\nAnswer: -20*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 64\/(-20)*(-4 + -1). Suppose -a*v = -18*v + 12200. Round v to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.4 in -3, -0.6, 1\/390?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18227, 18334, 18441, 18548?\nAnswer: 18655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -13 + 2*-1 + (-11 - -16). What is the units digit of (j\/((-40)\/(-1788)))\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1073948758.919999364 - 1073948762. Let o = 3.08 + k. What is o rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 - 4*h**3 - 3*h**3)*(1 + 1 - 4) + 3*h**3 + 4*h**3 - h**3 + (-2*h**2 - 1 + 1)*(h - 2 + 2).\nAnswer: 14*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in 0.11, 5, 32, -5, -1\/223?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-215)\/86*-4*(-6)\/(-10)*20\/36?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -14 - 9 + 2*w + 6. Let k be i(9). Let f(s) = 5*s. Let q(y) = -y. Let u(p) = k*f(p) + 3*q(p). Let l(o) = -45*o. Determine u(l(z)).\nAnswer: -90*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -195*a + 1603 + 1517. Solve -t = -5*l + 4, 6*l - 4*t - a = 7*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -779268 + 124644\nAnswer: -654624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of g**4\/6 - 3*g - 18. Let j(x) = -x + x - x + 3*x. Determine n(j(m)).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/3, -0.3, -5\/4, -1\/5, 3, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -1, 9, 27?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 818 a factor of 229394855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 6:32 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c + 1. Let h(z) be the second derivative of z**4\/3 + z**3\/2 - 6917*z. Give 4*d(v) - h(v).\nAnswer: -4*v**2 + v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 769 is divided by 40?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -d - 38, -l - 2*d = 2*l + 31. Let m be -2*(3 + l\/6). Let u = 5 + m. Let f(a) = a**2 - a + 1. Determine f(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -2488, -3, 178, -5, -1 in descending order.\nAnswer: 178, 2, 1, -1, -3, -5, -2488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 460 is divided by 45?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 5*u - 16, 5*u - u = -2*b + 4. Suppose -u*w + 3 = 5. Let a(z) = -72*z - 1. Is a(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2791*p**2 + 928*p**2 + 923*p**2 + 908*p**2.\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -291 + 291.0000074. What is y rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161786997 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7035?\nAnswer: 3, 5, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2705, 2703, 2701, 2699, 2697?\nAnswer: 2695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 + 3.95. Let o = 0 + 1. Suppose -4 = 3*w + w. What is the closest to o in w, y, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -20. Let i = o - -20. Calculate the least common multiple of i and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 13. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 4 + 1)*(6 + 2 - 4) + 6 - 3 - 1 + 4 + 2 - 4)*(74*m - 4*m**2 - 74*m).\nAnswer: -48*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29265?\nAnswer: 3, 5, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) -3\/4 (c) -24 (d) 4 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 128, -1447833*x + 68 = -1447835*x + 2*v for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 118 and 22.\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 10*r**4 + 2*r**2 - 11*r + 2. Let b(n) = -19*n**4 - 5*n**2 + 22*n - 5. Let x(h) = 2*b(h) + 5*i(h). What is the second derivative of x(l) wrt l?\nAnswer: 144*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*r**5 + 984*r**4 - 10052*r**3 + 24712*r**2 - 17664*r + 2048 = 0. What is r?\nAnswer: 1\/7, 1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 4*j - 85. Let g = j - 11. Is g != 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, e: 1, j: 1, w: 9}. What is prob of sequence se?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -2 + 0 - -1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -55465, -55465, -55463, -55459, -55453?\n\"Answer: p**2 - 3*p - 55463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 91717?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11290 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**2\/23 + 12336364*a\/23 + 19023234592562\/23 = 0.\nAnswer: -3084091","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of n**5\/120 + n**4\/24 - 2*n**3\/3 - 115*n**2. Solve m(w) = 0 for w.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/2 >= -109815\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 215, 212, 209, 206?\nAnswer: 203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10538.984951 - 10539. Let a = m - -0.015. Round a to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*v - 13. Suppose -3*s + 12 = -v*z, z + 10 = -3*z + s. What is the units digit of (-281)\/8*z + (-9)\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 658 - 684. Sort y, -3, 2, -5.\nAnswer: y, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1517.534510394 minus 2?\nAnswer: -1519.534510394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7 + 3*h**2 - 10*h**2 - 14 wrt h.\nAnswer: -14*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 48*j**2 + 95*j**2 + j - 34*j**2 - 1. Let g be z(1). Suppose g - 101 = 2*u. Solve 2*f + u = f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -2. Let f be t\/4*6\/(-9). What is the nearest to f in 5, -1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -10, 19, 22?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/8, -4, 0.1, 1\/2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/2 + 3 + 30. Let v = 54 - j. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3165161*i - 3165151*i + 6330212*i. Let y(c) be the second derivative of c**3\/6 - c. Calculate s(y(u)).\nAnswer: -100*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 9, n: 3}. What is prob of picking 3 l?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*b - 63*b + 772 = -17*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -29*t**3 - t**2 - 43*t + 40. Let y(b) = 10*b**3 + 15*b - 14. Determine 6*f(o) + 17*y(o).\nAnswer: -4*o**3 - 6*o**2 - 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**4 - x**5 - 4*x**4)*((1 - 4 + 2)*(-2 + 7 - 2) + 84 + 6 + 12).\nAnswer: -99*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -72*d**5 + 476*d**2 - 476*d**2 + d**5 + 0*d + 0*d + (-4*d + 8*d + 0*d)*(2*d**4 - 7*d**4 + 4*d**4).\nAnswer: -75*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -1 + -4 + -10 + 18 + 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 223 - 174. What is the highest common divisor of 2548 and k?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 + -12. Is 15 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-60)\/50)\/(((-14)\/(-10))\/7))\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14551968?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -6, -3*d + 0 = 5*a - 16. Let o be (-198)\/36 + a\/2 + -2. Let q be ((-18)\/15)\/((-2)\/o) - 0. Which is bigger: -36\/11 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003499145 to seven decimal places.\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a century in months?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j**5\/4 + 745*j**4 + 561664*j**3 + 19709129*j**2\/2 - 46173137*j\/4 - 41673859\/2 = 0. What is j?\nAnswer: -1481, -19, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**2 - 67*c - 1898. Calculate n(35).\nAnswer: -568","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -10*p + 17. Let k(c) be the second derivative of c + 0*c**3 + 0 + 0*c**p - 1\/20*c**5 - 5\/2*c**2. Calculate k(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2\/7)*z*z*z\/z**6*z\/z**2*z\/z**(7\/4))\/(z\/(z\/z**(-2\/3))*z**(2\/5)*z*z**(-8)*z**(3\/5)) assuming z is positive.\nAnswer: z**(221\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -11102202202?\nAnswer: -11102202201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from woozz. Give prob of picking 1 o, 1 w, and 1 z.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rwf when three letters picked without replacement from {w: 1, c: 1, r: 1, n: 3, k: 2, f: 5}.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a centimeter in micrometers?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 9:05 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 10. Let v be ((-2)\/5)\/(y\/(-45)). Let f = v + 69. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(1\/(4\/(-8)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117422?\nAnswer: 2, 58711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -2, 8, 36, 88, 170, 288, 448?\nAnswer: 656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.2792 - 3.7792. Let n = 31\/15 - 5\/3. What is the nearest to n in 0, 2\/9, d?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 10751*t**3 - 65*t**2 - 65*t - 130. Let w(i) = -672*i**3 + 4*i**2 + 4*i + 8. Determine -4*v(p) - 65*w(p).\nAnswer: 676*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*u**2 + 682 - 83*u**2 + 259*u**2 - 88*u**2 - 682.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 4*z + 5. Let m be v(-6). Which is the smallest value? (a) 0.4 (b) m (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 4*q + 1. Let a be f(5). Let j = -4 + a. Find the third derivative of -4*r**j + 2*r**2 + r**5 - 2*r**5 - 2*r**5 wrt r.\nAnswer: -180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 3*z**2 + 2*z - 2. Let q be (-1 + 5\/10)\/(2\/12). Determine k(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0866 * 0.5.\nAnswer: 0.0433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135416 is divided by 517?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 13 = -4*g + 20, -5*g - 7 = -o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5082?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -3.5. Let c = 111\/44 + -36\/11. What is the second smallest value in i, -0.1, c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddyudddbudtu. What is prob of sequence bt?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 + 2*p**2 - 6*p**2 + (-15*p - 4*p - 291 + 294)*(-2 - 2*p + 2))*(6*p**2 - p**2 - 3*p**2).\nAnswer: 74*p**4 - 12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**3\/23 + 970*m**2\/23 + 13158*m\/23 - 14130\/23 = 0.\nAnswer: -471, -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7986 and -32651936.3.\nAnswer: -32659922.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*y**3 + 78*y**4 - 69*y + 1206 + 70*y + 13*y**3 wrt y.\nAnswer: 312*y**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 17*q - 69. Let f be b(-8). Suppose -4*a - 156 = -2*r, f*a + 71 = 3*r - 154. What is the greatest common divisor of 96 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -13.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p + p + 2*p + 2*p to the form k + i*p and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3372 to two decimal places.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**25*c\/(c*c\/((c\/c**(-1\/3))\/c)) assuming c is positive.\nAnswer: c**(73\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 3*m + 381. Determine p(18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f*h**3 + 2*f*h**2 - f + 570*h**5 + 2*h**2 wrt h.\nAnswer: 6*f + 34200*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 - 19 = -5*h. Let t = h + -9. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -0.02, 2\/5, 3\/2 in decreasing order.\nAnswer: 3\/2, 2\/5, -0.02, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 1 = t + 5*x, 0 = 4*t - 5*x - 13. Solve 0 = -2*b + 2*r - 0*r + 6, 4*r + 6 = -t*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1152 - 0.8848. Which is the closest to -0.11? (a) p (b) 1.1 (c) -3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1080 (base 9) in base 8?\nAnswer: -1441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - i + 2. What is b(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 15*d = -100. Suppose -d*v + 0 = 3*w - 4, v + w = 2. Let p be 2 - (v - 1\/(-3))*3. Solve -3*i - 2 = x + i, 2*x + 2*i = -p for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16.3 + -16. Are -0.3 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 13239 (b) 4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/6*(-16)\/(-6). What is the units digit of 12*k\/(-36)*-39?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -5*m - 2, -16*p - m = -17*p - 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 339*(-12)\/(-630) - (-4)\/10 and 70\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 912?\nAnswer: 6384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (1 - 2 - (-13 + 16)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-116)\/1044)\/((-39)\/18).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*x + 3*i, -4*i - i = -3*x - 26. Let h = -892 - -84739\/95. Let t = h + -183\/665. Which is the third smallest value? (a) 0.01 (b) t (c) 5 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*b + 15*b - 85*b - 2*b - 2*b + 8*b - 6*b + 3*b + b + (1 - 2 + 0)*(-b + 3*b - b).\nAnswer: -48*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 7 + 3. Suppose -2*t + 3 = -3*n, -b*t = 2*n - 7*t + 13. Suppose -3 = -4*m + n. Which is bigger: m or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p + 7*r - 94, -p - 284*r = -282*r - 27 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -7*l**3\/3 + l**2\/2 + l - 30. Let r(x) = -15*x**2 + x + 3. Calculate -5*k(i) + 2*r(i).\nAnswer: 5*i**2 - 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**5\/3 + 580*s**4\/3 + 102040*s**3\/3 + 4771120*s**2\/3 + 61787200*s\/3 - 330163712\/3 = 0. What is s?\nAnswer: -46, 4, 424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -8. Suppose l = -0*t - t. Suppose 4 = p - t. What is the third smallest value in 0, 3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 373283.\nAnswer: 43, 8681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - -17) + 42 - 40 - 17.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -672, -669, -656, -627, -576, -497?\n\"Answer: p**3 - p**2 - p - 671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 98, 131, 186, 269, 386, 543, 746?\nAnswer: 1001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14280 by 680.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 120.489 to the nearest integer.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -12e?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 23430.28g in nanograms?\nAnswer: 23430280000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 61027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i**5 + 396*i**4 - 20*i + 58?\nAnswer: -60*i**3 + 4752*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 19*d**6\/10 + 5*d**2 - 39*d. Differentiate l(g) wrt g.\nAnswer: 228*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.45 - 184.45. Let v = -183.618 - k. Round v to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.572629 rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21633 - f**2 - 99*f**3 + 21633.\nAnswer: -99*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/40)\/((-150)\/(-250)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2490*d + 40342. What is g(-16)?\nAnswer: 502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 11:34 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 155 and 3788665?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u + 8. Let x be c(-4). Suppose -5*d + 58 = 3*j, x*d - 2*d = 2*j + 20. Calculate the remainder when d is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uuuuufuuuuuuuuu.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*r + 1737 - 879 - 858.\nAnswer: 54*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 26.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4 = -4*g. Suppose 7 = i + g*q - 2, 5*i + 2*q = 27. Find the third derivative of -2*c**i - 2*c**2 - 5*c**2 + c**5 + 4*c**2 wrt c.\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 667036713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 77*f**2 + 15*f - 45*f**2 - 31*f**2. Let q be v(-17). What is the greatest common factor of 306 and q?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, 1, 145, 8, -4?\nAnswer: 145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-3) + 3 + 2. Suppose -a - 45 = h - j*h, 3*a = 0. Suppose -6 - h = -5*c. Solve 16 = -b - 5*w, 2*w + w = -c*b - 12 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b - 4*m + 50, -2*b - 2*m - 498 = -514 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of 1\/24*g**4 + 0*g - 2*g**2 + 0 + 1\/6*g**3 + 1\/60*g**5. What is the units digit of t(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**2 + 0*g + 0*g + (g**2 + 2*g**2 - 4*g**2)*(-1122 - 277 - 1727) to the form a*g + r + u*g**2 and give u.\nAnswer: 3124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1980)\/21)\/(4\/28). Let d = 669 + h. Let b(v) = -3 + v + 1 - 2. Calculate b(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4165016, -8330037, -12495056, -16660073, -20825088, -24990101?\n\"Answer: r**2 - 4165024*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8782, -2, 2, 12 in ascending order.\nAnswer: -2, 2, 12, 8782","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 take away -44857?\nAnswer: 44724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -19*h**3 - 27*h - 6. Let z(g) = 37*g**3 + 54*g + 11. Let c(l) = -11*v(l) - 6*z(l). What is the second derivative of c(a) wrt a?\nAnswer: -78*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 20, -3*l + 203 = -6*f + 2*f. List the prime factors of l.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -70*z - 9. Let v be o(3). Let t = v - -316. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6)*t\/((t**2*t)\/t*t))\/(t\/(t**(-1)\/t))**(-1\/13)*(t**(-2\/5))**(-8)*((t*t\/(t\/((t\/t**(2\/5))\/t)*t))\/t)\/(t**(-2\/17)\/t*t*t) assuming t is positive.\nAnswer: t**(-7571\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*320\/(-40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -102 + 916\/9. Let x = -20 + 21. Are o and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 160*k - 8. Let h be o(5). Suppose 5*l - 20 = 0, -4*d + h = -2*d + 3*l. What are the prime factors of d?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + k + 1. Let l be x(-4). What is the highest common factor of 143 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 10:26 AM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (18\/4)\/((-3)\/(-18)). Let a = 8 - -4. Calculate the remainder when (-4)\/18 - (-573)\/g is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/111 - -73\/111. Let g(p) be the first derivative of 3\/4*p**4 + 1\/4*p**2 + 1\/12*p**6 + 0*p - 2 + z*p**3 + 2\/5*p**5. Factor g(s).\nAnswer: s*(s + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 8 = -r, 13*t - 11*t - 5*r = -4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-20))\/(252\/(-46620)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.11 - 0.11. Let t = -8 + m. Let b = 3.9436 + -0.9436. Which is bigger: t or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41780081 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 131 = 26. Find the second derivative of -4*z + 6*z - 37*z + 53*z**2 - h*z wrt z.\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**2 + 9*y - 5. Let f(k) = -k**2 + 5*k - 3. Suppose -13 - 5 = -6*m. Give m*x(i) - 5*f(i).\nAnswer: -i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qcdi when four letters picked without replacement from clqdcllddddlilel.\nAnswer: 1\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1131296221.\nAnswer: 11, 102845111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1111950 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -111.6 - -112. What is the nearest to -0.1 in -0.3, a, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115 + (2 - 32) - 15.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*m**4*n**3 - 265*m**3*n - 12*m**2*n**2 + 5*m**2 + 20*m*n**3 + 9 wrt m.\nAnswer: -72*m*n**3 - 1590*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 3*v**2 + v - 3. Let b = 10 - 14. Calculate the remainder when s(4) is divided by b\/6 - (-60)\/9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6822651 divided by -25553?\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 0.8. Let w(o) = o**2 + 1. Let z be w(-1). Let q = -78.6 - -79. Which is the closest to -2\/9? (a) h (b) q (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*n - 3*n + 24*n)*(-2*n - 2*n + 7*n)*(-3 + 1 - 1) to the form f*n + v + m*n**2 and give m.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 154 + -42. Calculate the remainder when l is divided by 58.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 0*m + 6695. Suppose 8*t - 1349 = -4*v + 3*t, -4*v = 3*t - m. Let u = v - 632. Round u to the nearest 10.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*v + 91434, 27*v = 29*v - 3*l - 91424. Does 205 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 - 257 - (3 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -1 + 7*m + 5*m - 13*m. Let j(p) = -p + 1. Let c(y) = 2*y - 3. Let d(h) = -2*c(h) - 5*j(h). Let a(i) = i - 7. Let r be a(6). Give r*d(g) - 3*v(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443 is divided by 88?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -43, 4, 563 in decreasing order.\nAnswer: 563, 4, 2, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in -0.01, -40801, 0.3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -351 + 3597\/10. Let r = -2477\/667 - -110\/23. What is the common denominator of y and r?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*a + 15. What is the remainder when (-88)\/(-3) + a\/(-6) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6706*p + 3357*p + 3336*p.\nAnswer: -13*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 107*f - 106*f + 2*u + 11, 2*u + 10 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*a**4 + 21*a**4 + 19*a**4 + (11 - 1 - 1)*(a - a + 8*a**4) to the form z*a**4 + c*a + k + x*a**2 + r*a**3 and give z.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 9033*u + 162288. Determine q(18).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -3*w + 942. What are the prime factors of w?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*d = 2, -2*d + 28 = -0*z + 4*z. Suppose 18 - 54 = z*t. Calculate the remainder when (-2*t\/15)\/((-3)\/(-150)) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**3 - 3*t**3 + 5*t**3 + (10*t**2 + 17*t**2 - 18*t**2)*(4*t - 2*t - t) to the form f*t + v + i*t**2 + s*t**3 and give s.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -730485 divided by -20871\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-9) + 645\/(-135). Is 26 a factor of -6 - (-96)\/15 - 4738\/b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*h = -24*h + 2. Let x(z) = -z**2 + 12*z - 1. Let m be x(12). Is m greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.06 - -0.13. Let c = -7.07 + u. Let q = 6.4 + c. What is q rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2)*r)\/(r*r\/r**(-6))*(r*r**(-3))**(-2\/109))**(-1\/16) assuming r is positive.\nAnswer: r**(977\/1744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005 to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(9\/5))**36 assuming x is positive.\nAnswer: x**(504\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -2*f**7\/21 + 7*f**4\/12 + f. What is the third derivative of k(h) wrt h?\nAnswer: -240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 50*n**5 - 64*n**2 - 58*n**5 - 3*n - 19*n + 52*n**3 - 22*n + 76*n**4 + 40 - 52*n**2 = 0?\nAnswer: -1, 1\/2, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4862, 2185, -492, -3169, -5846, -8523?\n\"Answer: -2677*g + 7539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v - 2. Let l(a) = -8*a - 1503. Calculate -l(k) - 3*q(k).\nAnswer: -k + 1509","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from omoujjjjjjjjmmu. What is prob of sequence mo?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-4) + -3)\/((-68)\/32 + 1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 5:40 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 8*o**2 - 23*o + 11. Let v(y) = 7*y**2 - 23*y + 10. What is -5*p(m) + 6*v(m)?\nAnswer: 2*m**2 - 23*m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -3 (b) -4 (c) 4697\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78 + 126. Let g be (77\/6 - (-8)\/f) + 0. What is the second derivative of 5*j + j + 9*j**3 + j + g*j**3 wrt j?\nAnswer: 132*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10448 - q**2 + 331 + 19*q + 12*q - 34*q.\nAnswer: -q**2 - 3*q - 10117","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*1\/2*-26. Suppose 0*n + n = -t. Let b(j) = -j**3 - 12*j**2 + 13*j. Let q be b(n). Solve 4*x - 8 = -2*a - 2*a, q = -x + 4*a + 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2. Let x(b) = 14*b**2 - 5. Let f = 96 + -99. Let n(y) = 7*y**2 - 3. Let r(s) = f*x(s) + 5*n(s). Determine r(w(q)).\nAnswer: -7*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5600) + sqrt(5600)*-1)\/((sqrt(88)*1)\/sqrt(11) + sqrt(8)) + (sqrt(7) + 1)*3*-6*-3 + -5)**2.\nAnswer: 5292*sqrt(7) + 22813","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a + 45. Let y be l(-18). Differentiate 17*k - 9*k + 1 + y*k wrt k.\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47560865.\nAnswer: 5, 11, 127, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 432.0046 plus -0.1?\nAnswer: 431.9046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 - 2420*b - 255762.\nAnswer: -2*(b + 117)*(b + 1093)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47 + 48. Suppose -2*z = i - 14, -3*i + 8 = -z + s. Suppose i = h - 0. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/21756 and -11\/144.\nAnswer: 261072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-6))\/(105\/10)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -412 + 901. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -0*f + 3*f - 1152, 2*f = 5*j - 2842. Suppose -4*d - 5*p + 346 = -111, j = 5*d + 5*p. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*r**(-6)*r**(-1\/2)*r**7\/r*r\/r**(3\/2) assuming r is positive.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 60\/(-150) - (-154)\/10. Let o(g) = 11*g - t*g + 12*g - 3*g. Let l(u) = -10*u. Give l(o(c)).\nAnswer: -50*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*i + 35 = 3*o, 4*o = 2*i + 28. Suppose o*g - 2*g = 20. What is a in -3\/2*a**2 + 1\/4*a + 0 + 3\/4*a**5 - 5\/2*a**g + 3*a**3 = 0?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 14*g - 69 - 133 = 0, z + 40 = -3*g. Suppose -2*r - 3*r + 24 = 4*c, -5*c = 5*r - 25. Sort z, r, 29 in increasing order.\nAnswer: z, r, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and 7060.\nAnswer: 7063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 805035.\nAnswer: 3, 5, 7, 11, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7024, 28123, 63292, 112531?\n\"Answer: 7035*f**2 - 6*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 1 = -4*i. Let q(b) = 0*b + 4*b - 6*b - i*b - 4. Let t(h) = h + 1. Suppose 0*g + 2*g + 18 = 0. What is g*t(v) - 2*q(v)?\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 425 + -2128\/5. What is the closest to -2 in 4, 5, 8, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*n - 23 = 0, 0 = -0*n - 3*n - 6. Suppose 0 = -a*s + 14 + 55. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 13\/5 of a microgram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1649019 and 94663?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42 by -7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, 28, 67, -26, -335, -944, -1937, -3398?\nAnswer: -5411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 41*t - 39*t - 31, s + 57 = 3*t. Solve -t*z = 115 - 35 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 27\/2 of a micrometer?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*a - 512 = 0, 2*a + 5 = a. Suppose f = 107 + 229. Let r = k - f. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 15*w**3 + 2*w**2 - 3*w + 1. Let u be g(1). Solve -2*n + 2*a - 4 = -0*a, -5*a + u = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(66) - sqrt(66))*4)\/(sqrt(18)\/sqrt(3)*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 - 51 = 83*u. What is the biggest value in u, -3, -0.041?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (150 + 0) - (-319 - -273 - (-23 + -8)).\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 - 28. What is the remainder when 63 is divided by b + (1 - (2 - 0))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18.16 - -26. Let i = c - 8. Let x = i - -0.26. Is 0.1 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10102 + -1001?\nAnswer: -11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -75620 to the nearest 1000.\nAnswer: -76000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 36*x**2 + 85*x + 346. Let u be h(-38). Solve 0 = u*j - j - 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -6 + 7*d + 6*d - 16*d. Let x be (12\/14)\/((-4)\/(-28)). Let r(s) = -6*s - 11. Determine x*r(y) - 11*h(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2789394?\nAnswer: 2, 3, 17, 23, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -521*f**7\/210 + 563*f**5\/15 - 483*f**2. What is the third derivative of u(r) wrt r?\nAnswer: -12504*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**3 - 142*c**2 - 130*c**2 + 404*c**2 - 132*c**2 - 17*c**3 + 7*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is 1260031 to the power of 1\/4, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 8:30 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-123 - 174 - 587)*(m**3 - 17*m**2 + 17*m**2).\nAnswer: -884*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 1. Suppose -4*p - 38 = -3*l + 113, -106 = -v*l + 4*p. Calculate the greatest common factor of 18 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 8*s + 12 = -a, -3*s = -2*a + 21. Suppose 0*v = -3*v + 33. Suppose q = 4*k - v, q + 12 = -3*q. Solve -k*i - a = 7 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + (-46)\/(-42))\/(7\/3). Are m and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -385327\/72 - -5352. Calculate the common denominator of g and -99\/160.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 828 is divided by 104?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44 - -47.9. Let j = v + -4.8. Let s be (2 + -1)*2\/14. Put s, -0.5, -5, j in decreasing order.\nAnswer: s, -0.5, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262297392.\nAnswer: 2, 3, 7, 111521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p - 2. Let c(m) = 2*m - 5. Let r be c(5). Suppose -r*t = s, -2*t = s - 1 - 2. Suppose -3*j = 5*y + 19, -2*y + 4*j - 13 = s. Give b(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.9639 + -0.0361. Put -0.2, -18, l in decreasing order.\nAnswer: -0.2, l, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -2*l - l + 3*x, -4*x - 10 = 3*l. Let i be (7\/35)\/(8\/l). Which is smaller: i or 4\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g**3 + 3*g**2 - 5*g. Let n(k) = -2*k - 406*k**2 + 408*k**2 - 5*k + 5*k**3 - 2*k + 3*k. What is -3*n(w) + 4*t(w)?\nAnswer: w**3 + 6*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((5\/210)\/(5\/30) - -1) + -2. Let k be (-1)\/((-1)\/2 + 2). Which is the nearest to k? (a) 1\/3 (b) -5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6 - -0.4. Let s = -16 - -24. Let p = -4 + s. Which is the second biggest value? (a) 2\/9 (b) n (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.36962 - 107.\nAnswer: -109.36962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*t - 77*t + 6 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 9*p + 4 = 11*p, -4*k + p = -16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (12 - -10 - 21)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -76.04 + 78. Let l = -4096.2905 + 4098.2504861. Let p = l - m. What is p rounded to six decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41789 (base 13) to base 2\nAnswer: 11100101111101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 577669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8455560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of o**4\/16 + 3*o**3\/2 + 27*o**2\/8 - 135*o\/2 + 4695. Factor s(p).\nAnswer: (p - 3)*(p + 6)*(p + 15)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 17*r - 15 + 45 - 17 - 14. Let y(w) = -29*w**2. Determine n(y(u)).\nAnswer: -493*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4659 = 5*f, -3740 = -4*f - z - 3*z. Is f a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11574 + 19974. Is 50 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 171368381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 1967 = -5*w, w + 5*c - 423 = -12. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 244*28.4.\nAnswer: 6929.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.2 - 7.2. What is the nearest to 0 in 0.13, 3, h?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -109 - -114. Let j(h) be the first derivative of h**2 - 4*h - 1. Give j(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16a2006 (base 11) to base 2\nAnswer: 1011000000110100100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 402.1251 millimeters in kilometers?\nAnswer: 0.0004021251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 954 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 114 and 15?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -17640 times -0.273\nAnswer: 4815.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-14) + 75\/126. Let p = -5.896 + -0.044. Let d = -0.06 + p. Which is the nearest to d? (a) -2\/7 (b) v (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114804607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - (-95)\/20 - (-6)\/(-8). Let m(q) = 3*q**3 - q**2 + q - 1. Give m(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 - 541215532?\nAnswer: -541215515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3208 and 35494114?\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 653339.\nAnswer: 653339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2692250\/(-1925))\/178 - (-1 + -7)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q + 15, -15 = s + 4*s + q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 149*l - 5. Let f(u) = -300*u + 11. What is 6*f(x) + 13*j(x)?\nAnswer: 137*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*n - 2 = 0, 3*n - 17 = -2*l - 8. Suppose 0 = -l*i - 0*s + s - 46, -26 = 3*i + 4*s. Let g = i - -16. Solve 0 = p + 4*p + d - 11, -p = -g*d for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, d: 5, k: 5}. Give prob of picking 1 d, 1 k, and 1 a.\nAnswer: 25\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 551408.\nAnswer: 2, 11, 13, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24507?\nAnswer: 3, 7, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*k**4 - 3*k**4 + 215 + 215 - 2*k + 2*k**3 + k**2 - 435 in the form m*k + f*k**3 + a*k**2 + h + v*k**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 975221 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*m = 3*f - 278*m - 288, -m = -33*f + 19 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/15 (b) -22\/21 (c) -4 (d) -17 (e) 7\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011111 - 1001000110?\nAnswer: -1101100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*j**4 + j**4 + j**4)*(3 + 1 - 6) + (-4 - 2*j**4 + 4)*(3 + 0 - 7) + 5*j**4 + 14 - 14 to v*j + m*j**3 + n + y*j**2 + c*j**4 and give c.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 40 = -76. Suppose -3*f + 177 = 3*o, j + 107 = 2*f - 4*o. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3359 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -982, -3811, -8524, -15121, -23602, -33967, -46216?\n\"Answer: -942*m**2 - 3*m - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -52, -3*b + 33 = -9*w + 12*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 28*c**5 + 412*c**4 - 568*c**3 + 128*c**2 = 0.\nAnswer: -16, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/7*(-7)\/(-4). What is the nearest to -2 in f, 3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1148 or 1146?\nAnswer: 1148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 11:06 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 o when three letters picked without replacement from kxkokxxlkylkxlxxlkl?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 r when two letters picked without replacement from emsjrsssseseesr?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/20)\/(4\/130). Calculate the remainder when 2\/(-4) - 345\/(-46) is divided by (-14)\/(-21) + l\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 286*a**2 + 13*a + 28. Let s(m) = 96*m**2 + 5*m + 10. Determine -11*s(l) + 4*t(l).\nAnswer: 88*l**2 - 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -174202 (base 8) to base 3\nAnswer: -10020021020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(30)\/sqrt(3)) + sqrt(3)*1 + -2 - -6*(3 + (sqrt(192) - (sqrt(192) + 0 + sqrt(192)))**2).\nAnswer: 2*sqrt(3) + 1168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -128, -127, -124, -119?\n\"Answer: p**2 - 2*p - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 12:30 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m + 12 = 11*m + 5*o, 3*o - 2*o = -4*o for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2892419807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 26012 (base 10) to base 15\nAnswer: 7a92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61677451, 61677455, 61677461, 61677469, 61677479, 61677491, 61677505?\nAnswer: 61677521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1 (b) -0.1 (c) -5 (d) -38 (e) 0.2 (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, i: 11, z: 3}. Give prob of picking 2 z and 2 i.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4*a**2 + a - 5. Let b(y) = 3*y**2 + 183 + 4*y**2 - y - 174. Calculate 3*b(f) + 5*k(f).\nAnswer: f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -1\/13 (c) -105 (d) -31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4 = 2*d, -3*d + 7 = b + 3*b. Let x(k) = -k - 2. What is x(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + -0.3. Suppose 0 = 6*h - h. Let f = h + 1. Is f at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2197 - 17225.\nAnswer: -17225.2197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - p + 2 = -5, p + 13 = -2*f. Let i be f\/20*-4 + 22. Calculate the greatest common divisor of i and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -248 + 399. Suppose l - 4*m = 44, 2*l + 3*l + 3*m - t = 0. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1432574 = -15*x - 19*x - 194328. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 9:10 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, -2039, -0.3, 3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5387 + 5366 - (-1 - -12 - -2)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 36862400 to the nearest 1000000.\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -262\nAnswer: -1\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-560)\/(-15))\/(-8)*(-6)\/7. Let o be (12\/147)\/(((-24)\/(-7))\/j). What is the third biggest value in o, -1\/6, 0.5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252)\/sqrt(144).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-three quarters of a litre in millilitres?\nAnswer: 23250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-18))\/(4\/30)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-4\/15)*c**(2\/51)\/c)**(-4\/11)*(c**(-13\/2)*c*c*(c\/(c*c*c\/((((c\/(c\/c**7*c)*c*c)\/c*c)\/c)\/c)))\/c)**(-41) assuming c is positive.\nAnswer: c**(114797\/1870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + -24. Let g be (2\/3 - 1)*-1. What is the closest to g in -0.1, q, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6874146 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -7*w**2 - 5*w + 5. What is l(2)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*p - 18*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 6*t**3 + 2*t**2 - t + 2. Give h(-2).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 244 and 7173722?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-21)\/(c**19\/c)*(c*c**(-4)*c)**(-15) assuming c is positive.\nAnswer: c**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j**2 + 11*j + 7. Let f(o) = o**2 - 12*o - 26. Let a be f(14). Suppose 3 + 1 = -a*w. Let t(r) = -2*r**2 - 5*r - 3. Determine w*y(h) - 5*t(h).\nAnswer: 2*h**2 + 3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o + 2*o - 4*o)*(-6 + 14 + 2*o - 10)*(8*o - 2*o + 6*o).\nAnswer: 48*o**3 - 48*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 8*x - 10. Let j be s(5). What is the third derivative of j*i**4 + 15*i**2 + 19*i**3 - 8*i**3 - 11*i**3 wrt i?\nAnswer: 120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/1)\/(12\/8). Let f = -2\/69 + 73\/138. Let k = -4.6 - -1.6. Which is the second biggest value? (a) f (b) k (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -806*m + 1628*m - 27187*m**3 - 824*m.\nAnswer: -27187*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 10:22 AM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -321, -633, -923, -1179, -1389, -1541, -1623?\n\"Answer: 2*q**3 - q**2 - 323*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-6))\/(20\/(-80)). Suppose 0 = -q + w*b - 6, 9*b = q + 4*b + 15. What is the closest to q in 1\/2, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9830 and 1550.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and 4914.\nAnswer: 54054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*b**2 - 39*b + 2 + 39*b - 28*b**2 as z + a*b**2 + w*b and give a.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11, -3, -27, -61, -105, -159, -223?\n\"Answer: -5*b**2 + b + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -3 + 1\/9*b**3 + 0*b - 1\/6*b**2. Determine y, given that f(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a day in minutes?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 18 = 2*n, -35*g = -30*g - 4*n + 14. Solve 2*v - g*q + 2 = 6, 0 = -2*q - 10 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3693 - 3693 - 51043*g.\nAnswer: -51043*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1493*o**2 - 559*o**2 - 2*o + 740*o**2 + 1 + 792*o**2 - 4.\nAnswer: 2466*o**2 - 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -5*f - 23 + 90, 73 = 5*f - m. Suppose 16 = -4*k, -3*a = -2*a + 5*k + f. Let g = a + 32. What are the prime factors of g?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265423553 to the power of 1\/2, to the nearest integer?\nAnswer: 16292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 6*b**4 + 7*b**3 - 4*b**2 - 8*b - 1. Let v(k) = k**4 - k**2 - k + 1. Let z(u) = 3*g(u) - 3*v(u). Factor z(h).\nAnswer: 3*(h - 1)*(h + 1)**2*(5*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*2039*21\/(-21). Calculate the greatest common factor of 4 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 90 - 359\/4. Which is the closest to 1\/3? (a) v (b) -0.04 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 + 9 = -15*i. Suppose 146 = 2*k - 5*y, -i*y - 141 = 5*k - 440. Calculate the remainder when k is divided by 34.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 93*w**3 + 3*w**2 - 1. Let t(g) = -465*g**3 - 17*g**2 + g + 6. Give 11*o(l) + 2*t(l).\nAnswer: 93*l**3 - l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**2\/5 + 74001844*z\/5 - 684534114425042\/5 = 0.\nAnswer: 18500461","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + 0. Let s be 0\/(-1) - w\/35. What is the closest to s in -0.2, 0, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*g + 58*g = -4*z - 4467880, 5*g + 5*z - 5584940 = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 1 - 4)*(-2*t - 1 + 1) + t - 4*t + 6*t + 15 + 7*t - 15)*(t - 5*t - 5*t).\nAnswer: -108*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 + 10120?\nAnswer: 10022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19781528 - 9581728. Round o to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + 6 - 0\/(2 - -1). Suppose x + 4*x - 793 = 3*i, -s*x + 487 = i. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z = 10 - 28 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of 2*a**3\/15 + 462*a**2\/5 - 926*a\/5 - 966. Find i such that x(i) = 0.\nAnswer: -463, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 313*i**4*o**2 + 7420*i**2*o**2 - 3*i + 850*o**2 + 2493*o wrt i?\nAnswer: 3756*i**2*o**2 + 14840*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16284 and 33276.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -761 (base 13) to base 4.\nAnswer: -103232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3832, -3852, -3872, -3892?\nAnswer: -3912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -1 + 1 + (-1 - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 30325 + -311?\nAnswer: 30014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7346 - -7346.6289. Let u = c + -0.64. What is u rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57852, -115706, -173560, -231414?\nAnswer: -289268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 12 + 16 = 5*z, -3*z = -3*g - 6. Suppose 4*s - g*m + 586 = 0, -5*m - 29 - 721 = 5*s. What are the prime factors of s\/(-12) - 2\/6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3576 divide 4402864176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 53 = -4*r, -4*r + 8 = -4*y - 44. Suppose -1757 = 7*u - r*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 8*l**2 + l + 8. Let b be u(-8). Suppose b*h = 3*h. What is o in h*o - 2*o**2 - o + o**4 + 5*o**3 + o**2 - 4*o**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*u**3 + 0*u - 16*u**3 - u.\nAnswer: 107*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of 1\/6*j**3 + 0*j + 0 - 1\/12*j**4 - 60*j**2. Let h(l) be the third derivative of -l**4\/12 - l**2. Give z(h(d)).\nAnswer: 4*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxrxxxrx. What is prob of picking 1 r and 1 x?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.6 - 3.1. Let b = 6 - 11. Let v = 122\/329 + -4\/47. What is the third smallest value in p, b, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-36 - 10093479\/(-330)) + 6\/(-20) is divided by 76.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*b + 113*b + 5*b**2 + 13 - 6*b**2 + 6.\nAnswer: -b**2 + 179*b + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 8:48 AM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -35, -306, -1043, -2480, -4851, -8390?\n\"Answer: -39*k**3 + k**2 - k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 23*k**2 + 3*k. Let g(l) = -l**3 + 47*l**2 + 5*l. Calculate 3*g(j) - 5*p(j).\nAnswer: 2*j**3 + 26*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xhsx when four letters picked without replacement from xssrtxxhjxxtrrtxxtrj?\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1749 and 297?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-2793)*(-1442)\/(-412))\/(3\/(3*9)).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3157954 * 1.2.\nAnswer: -3789544.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 532366\/59 - 9018. Which is smaller: 5 or u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*i**2 + 12 - 5 + 32*i**2 to p + a*i + s*i**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 7 = 2*z - 6*z, -4*a - 20 = 4*z. Let u be 12 + a - (2 + -8 + 2). Let n be (5 + -2)\/((-11)\/u - -2). Solve -3*c - 2*m = -n, 2*m = -3*m - 5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -51 - 9. Suppose z = 3*z + m. Find the common denominator of 65\/9 and ((-48)\/z)\/((-9)\/15).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, u: 1, t: 1}. Give prob of picking 1 b and 1 t.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 87*i**2 + 3*i**4 - 69*i**2 - 2*i**3 + 175*i**2 + 4*i**3 + 0*i - 2*i in the form o*i**4 + k*i**2 + l*i + v*i**3 + t and give k.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z**3 - z**2 - z. Let a be p(1). Suppose 285 = 5*o - 5*j, -j = -a*o - 3*j + 186. Is 28 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-3) + 6\/(-9). Suppose 3*n + 1 = 2*n. What is the units digit of n\/(z - 2\/26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 n when two letters picked without replacement from {n: 2, l: 1, z: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3466 + 5072. What are the prime factors of v?\nAnswer: 2, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134241401 (base 5) to base 4.\nAnswer: 2222002130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a factor of 7571097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzyzzzzzzyzzzzzzzzz. What is prob of sequence zy?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y**2 - 3*y - 4. Let o(u) = -u + 1. Let m(r) = l(r) - 4*o(r). Let q be m(2). Solve 0 = -5*w + 7*w + q for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2846, 11227, 25206, 44795, 70006?\nAnswer: 100851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, r: 3, d: 1, i: 3, g: 5, v: 1}. What is prob of picking 1 i and 1 g?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6392 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**2 + 16*d - 7. Let p be n(-13). Let g = -84 + p. What is the remainder when 76 is divided by g?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 0. Let k be (-10 - -8) + 12\/4. What is the closest to k in g, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -13\/2. Let c = -1.968 - 0.032. Sort c, f, -0.2.\nAnswer: c, f, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*h - 0*h - 127, 3*h - 12 = 0. Let j be (384\/i)\/8 - 2. Which is the smallest value? (a) j (b) 0 (c) 1 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 2*p**2 - 3 + (-2*p + 4*p - 3*p)*(p - 4*p + 6*p) + 3*p**2 - 2*p**2 + 6*p**2 in the form s*p + f + w*p**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3292 + 19823\/6. Calculate the common denominator of h and 53\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67 (base 16) to base 4\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 108232 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/1 - (4 - 6). Suppose -n*i = 56 - 2. Let v(y) = -y**3 - 17*y**2 + 17*y - 15. Let a be v(i). Solve 4*s = a*o - 1, 4*s + 3*o - 11 - 6 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n + 5. Let m be l(-2). Solve -3*a = -m*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71399 > 71375?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 1\/17, 2, -184 in descending order.\nAnswer: 2, 2\/5, 1\/17, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 17 + 223. Let b be 2\/(-13) + 4 + w\/26. Let y be 1 - (1 + (-2 - 0)). Calculate the greatest common divisor of y and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 45, 102, 159, 216, 273?\n\"Answer: 57*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(36\/258) + 2. Suppose -3*y - d = -1206. Is y a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**2. Let l(g) be the third derivative of g**6\/24 - 5*g**4\/24 + 10*g**2. Let y(c) be the second derivative of l(c). Calculate r(y(p)).\nAnswer: -1800*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence avy when three letters picked without replacement from {j: 2, v: 1, l: 2, k: 1, a: 2, y: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 15\/4 of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1536)\/132 + -4*(-4)\/(-44)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*x + x. Let d(y) = 4*y**2 + 4*y**2 - 6*y**2 + y + 3*y**3. Calculate d(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8\/7*n**3 - 4\/7*n + 6\/7 - 10\/7*n**2 = 0 for n.\nAnswer: -3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*d + 29*d - 2*b = 14, 3*d + 7 = 4*b for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a50 (base 13) in base 11?\nAnswer: -2a73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -81.5 minus -1100?\nAnswer: 1018.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1191.61 - -1206. Let c = p - 14. Round c to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**5 + 0*h**5 + 4*h**5 + (h**5 - 2*h**5 + 2*h**5)*(-4 - 2 + 5) + (4*h**3 - 12 + 12)*(-60*h + 60*h + 40*h**2).\nAnswer: 164*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -2. Let s be k\/(-7) - (-66)\/(-14). Which is the third biggest value? (a) s (b) 1\/6 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24345 (base 6) to base 3.\nAnswer: 11221002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 365 + -245. Is 47 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 5. Suppose 9 = 5*a - y. Put a, 3, -5 in decreasing order.\nAnswer: a, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8098 (base 12) in base 2?\nAnswer: 11011001110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 15. Suppose 0 = -b*d + 11*d + 90. List the prime factors of d\/90 - 822\/(-10).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 660818590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 + 57. Let i(w) = -356751 + w + w + 356776. What is the remainder when i(c) is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 10*n + 3*n - 4)*((2 - 2 + 3*n)*(n + 4 - 4) - 4*n**2 + 4*n**2 + 2*n**2 + 4*n - n**2 - 4*n) to the form w*n**3 + b*n + u*n**2 + v and give u.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i - 7*i - 3*i + 2 + i**2 + 2*i. What is t(9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, i: 3, h: 4, z: 5}. Give prob of sequence zhz.\nAnswer: 20\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -261*q**5\/20 + 227*q**3 - 932*q**2. What is the derivative of x(s) wrt s?\nAnswer: -1566*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eighteen fifths of a micrometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 111\/5 - (-24)\/4440*-37. Let x(r) = -10*r + 227. What is x(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-81)\/(-378))\/((-8)\/(-28)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*c = 75*c - 10. Sort -4, 7, -3, c in decreasing order.\nAnswer: 7, c, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -f + 15 - 6, s = -3*f + 17. Suppose -f*x - 308 = -3*b + 101, -b = 3*x - 141. Suppose 4*q = 74 + b. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/13 + ((-1815)\/390 - -8).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 40 = 2*w. Let b be 184\/40 - 6\/(-15). Calculate the highest common factor of b and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8004.987 millilitres?\nAnswer: 8.004987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, s: 3, w: 4, x: 1}. What is prob of picking 3 w and 1 o?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3218?\nAnswer: 2, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/5 of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*n - 222 = 27*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*q + 66036, 9*m - 11*m - 110064 = 5*q. Let t = q - -616281\/28. Find the common denominator of 10\/9 and t.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -g**3\/2 + 2*g**2 + 4*g - 1. Let m(c) be the first derivative of q(c). What is the derivative of m(p) wrt p?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55204*0.353\nAnswer: 19487.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1873 - 1863 = 5*h. Solve 13 = 5*m - h for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89363139 to the power of 1\/3, to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7\/5 - 6\/5. Let w = 1\/117 + 38\/117. Which is the biggest value? (a) i (b) -5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 0, -95, -334, -789, -1532, -2635, -4170, -6209?\n\"Answer: -12*v**3 - 11*v + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1638*m**5 + 2*m**4 - m**3 - m**2 + 5*m - 59 wrt m.\nAnswer: 98280*m**2 + 48*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6939941 is divided by 52180.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -91*y**6\/30 - 75*y**4\/4 - 99*y. Find the third derivative of m(d) wrt d.\nAnswer: -2184*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11)\/((-88)\/(-72)) - -5. Let p = 1\/8 - -19\/40. What is the nearest to 2\/7 in r, 1\/8, p?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g**2 - 7. Suppose 4*a - 3*a - 5 = 0. Suppose 5*b + 4 = -36. Let c(v) = 6*v**2 - 11. Give a*c(w) + b*q(w).\nAnswer: -2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/8*(-12)\/(-15)*-1. Sort 0, g, -5, -24 in decreasing order.\nAnswer: g, 0, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o - 9. Let u be b(-11). Factor 38*x**4 - 6*x**2 - 4*x**3 + 14*x**u - 42*x**4.\nAnswer: -4*x**2*(x - 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - -6.05.\nAnswer: 4.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -626*h + 563*h + 315 = 0. Solve -h = 7*j - 8*j, -s + 5*j - 22 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -116*g**2. Let a(l) = l. Give b(a(y)).\nAnswer: -116*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.057005 or 0.13?\nAnswer: 0.057005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -112 + 115. Solve a - 4*y + 11 = 0, 6*a + 2*y = z*a + 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*k + 162 = 11*p - 110, 5*p + 6 = 5*k + 116 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -596 + 712. What is the remainder when b is divided by 66?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -182.402837 to two dps.\nAnswer: -182.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -12624*w**3 + w**2 - 52*w - 2. Let b(h) = 12626*h**3 - 2*h**2 + 53*h + 2. Let z(k) = 7*b(k) + 6*t(k). Find the third derivative of z(x) wrt x.\nAnswer: 75828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (1*(sqrt(5) + 1) - sqrt(5)))*4*1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 46726425?\nAnswer: -4672642.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o + 1. Let v be y(-8). Let t(d) = -12*d + 12. Is t(v) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*m + 12 = -8*m, 2*x - 38 = m. What is the smallest common multiple of x and 84?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 130, 131, 134, 139?\n\"Answer: p**2 - 2*p + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 12100, 24308, 36516, 48724, 60932?\n\"Answer: 12208*l - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of a**4\/12 - 5*a**3\/3 - 9*a**2 + 3*a. Let w be n(12). Suppose w*k - k = 3385. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1745604 and 547233?\nAnswer: 137902716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = 8*h - 49. Let l be (-4 + 5)*-49 + 3. Let a = h - l. Put -4, a, 6, 4 in decreasing order.\nAnswer: 6, 4, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/7)\/((-2)\/(-7)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 893*x**3 - 9*x**2 - 2*x + 49. Let a(v) = -892*v**3 + 12*v**2 + 2*v - 48. Let u(j) = -3*a(j) - 4*o(j). What is the second derivative of u(f) wrt f?\nAnswer: -5376*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-44)\/72 + (-10)\/(-4) + -2. What is the fourth smallest value in 3, -2\/9, -2\/15, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 3:02 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*1*sqrt(425) + sqrt(425))*-1 - (sqrt(425)*-2 + 0 - sqrt(425) - ((0 + sqrt(425) - sqrt(425)) + -5))) + 3)**2.\nAnswer: 60*sqrt(17) + 3829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzzzzxzxjzzzzzjllzzz. What is prob of sequence xj?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 15*u + 153. Determine f(-9).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/4)\/(p\/p**(-5)))**46\/(p**50\/(p**2\/p**(-5\/2))) assuming p is positive.\nAnswer: p**(-333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (29\/4)\/((-16)\/(-512)). Let c = 400 - f. Suppose 4*m + 4*x - c = 0, 3*x - 86 = -m - m. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99 - 853*r + 214 + 852*r - 68.\nAnswer: -r + 245","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**4 - 2*j**4 - j**4 + (0*j**3 + 2*j**3 - 4*j**3)*(2*j + 0*j - j) + 0*j**4 + 3*j**4 - 4*j**4 - 4*j**4 + j**4 + 2*j**4 - 175*j**2 - 18*j**4 + 175*j**2.\nAnswer: -24*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/60 - 217554\/9090.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/285, 5, 0, 11, 0.1.\nAnswer: 0, 4\/285, 0.1, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 393041304?\nAnswer: 2, 3, 5458907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 + 1173*t - 14. Let s be r(17). Which is smaller: 20504 or s?\nAnswer: 20504","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2010341422 (base 5) to base 4.\nAnswer: 33033231013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5296*v - 5298*v + 31779*v - 5299*v - 5296*v - 5297*v - 5297*v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15972 and 1584.\nAnswer: 191664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2554110199 + 2554079950.26806. Let r = 30090.73 + q. Let z = r - -158. Round z to 4 dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 12*z**2 - 13*z - 18. Let q be x(-11). Solve 4*i + 2 = 3*y - q*y, 3*i + 2*y - 1 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -58.2 (b) 0.2 (c) 7.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41 by -10.\nAnswer: -41\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -28. Factor -5*g**x - 6 - 7*g + 3*g + 21*g.\nAnswer: -(g - 3)*(5*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -681.969 - 0.031. Let d = i - -656. Let h = 0 - -1. Is h equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -523267\/39 + 13417. Which is the closest to 1? (a) y (b) 3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-192)*(381 + -309)*(-36)\/(-5)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2723730 and 180?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -16.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 6. Determine u so that u**3 + w - 2*u**3 + u**2 + u - 3*u**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1271.\nAnswer: 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 - -15. Let s = d + 32. What is the units digit of 2\/(-4) - s\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -77 - -77. What is the third biggest value in i, -2, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5*v**3 + v**2 - 3*v - 3. Determine n(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 111556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**3*i**3 - 4*d**3*i**2 - 40805*d**3 - 4*d**2 + 8891*d*i**3 wrt d?\nAnswer: 6*i**3 - 24*i**2 - 244830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqz when three letters picked without replacement from {x: 7, q: 2, z: 5}.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*v + 33*v - 45 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z - 9. Let w be y(-7). Let l = w - -4. Let 1\/2*n**5 + 0*n**l - n**3 + 1\/2*n + 0*n**4 + 0 = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*v**4 - 102*v**5 + 11*v**2 - 134*v**2 + 55*v**4 - 30*v**4 wrt v.\nAnswer: -6120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - -1)\/((-9)\/(-45)). Suppose -2 = -2*v + 2. Let k = -20 - -16. Sort h, k, v.\nAnswer: k, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, k: 13}. Give prob of sequence kkk.\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 486555307?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 12:27 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -455*b + 4677 + 8839 = -589 for b.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 39.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19112?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v + 26 = 12 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 144*h**2 + 2517*h - 1356. Calculate b(-18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 179477, 358954, 538431, 717908?\nAnswer: 897385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 + 41*h + 1861. Does 5 divide s(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**4 - 4*l**3*z - 427*l**2*z - 340*l*z + 115*l wrt l.\nAnswer: 24*l**2 - 24*l*z - 854*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -161*l - 35 wrt l?\nAnswer: -161","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -116*p**2 + 5*p + 116*p**2 - 10*p**3 wrt p.\nAnswer: -60*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1365)\/(-14))\/1*((-270)\/525)\/(-9).\nAnswer: 39\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*-0.0453.\nAnswer: 0.02718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 0.5 (c) -26\/39219\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*o, -n - 2*o - 3*o + 419 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q**2 - q**2 + 3*q**4 + q + 2*q**2 as f*q + u*q**4 + j*q**2 + p + x*q**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 55? (a) -2\/7 (b) 4\/7 (c) -0.08 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1980 divided by 165?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 32 divided by 24\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -19*o**2 + 133*o - 5. Determine u(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -18*m**2. Let g(u) = 23*u. Give r(g(z)).\nAnswer: -9522*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 299.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (1 - -22) - 33) + (-2 + 0 - 0).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = -11 + 18. List the prime factors of 379 - r*(-15)\/5.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2296, 9136, 20536, 36496, 57016, 82096, 111736?\n\"Answer: 2280*z**2 + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 239*x**3 - 214*x**3 - 2*x**2 + x**2 - 1128*x**3.\nAnswer: -1103*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(27))*2 - ((sqrt(3) + sqrt(18)\/(1*sqrt(6)))**2 - sqrt(3)) - ((-3*sqrt(24))\/sqrt(8) - (sqrt(150)\/sqrt(2))**2).\nAnswer: 12*sqrt(3) + 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 6*u + 10017 = 0, -5*l + 6*u = 2*u - 10013. Calculate the greatest common divisor of l and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 5. Let y be o(9). List the prime factors of ((-4)\/6)\/(y\/(-525)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1878 = 4*l - 1926 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -477900 rounded to the nearest 10000?\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 286804 by -2.\nAnswer: -143402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 307 - 3?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(343)*1)**2 + 1*sqrt(343) + -4.\nAnswer: 21*sqrt(7) + 340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, m: 1, p: 9, r: 5}. Give prob of sequence rv.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 574\/7271 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(4\/3)\/(w*w**21*w*w) assuming w is positive.\nAnswer: w**(-68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wn when two letters picked without replacement from tpywnwww?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 119 and -0.2.\nAnswer: -23.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 50*(1898\/(-156))\/((-1)\/(-15)). Let p be 1\/(-14) - o\/(-1022). Which is the fourth biggest value? (a) 1 (b) p (c) 0 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1))**39)**(-47) assuming y is positive.\nAnswer: y**1833","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7261 in 0, 1, -9.1?\nAnswer: -9.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 11 = 5*q, -3*q + 0*q + 5*w - 2 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r - 10. Let j be m(-9). Suppose -2*k + 8 = -j. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19 - 13) + (0 - 1) + -5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5000 divided by -25?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 4*g = -5*g - 12, -3*g - 4 = -4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/6 and -94\/430215.\nAnswer: 860430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-72) - (-2071)\/9810. Let v(n) be the first derivative of h*n**3 + 33 + 32\/5*n + 12\/5*n**2. Factor v(r).\nAnswer: 4*(r + 2)*(r + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25433.6468 rounded to the nearest one thousand?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**4\/17 - 2804*v**3\/17 - 2586*v**2 + 546840*v\/17 + 8731800\/17 = 0. What is v?\nAnswer: -1386, -15, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 - 4) + (-4)\/2. Let u be 2\/2 + 3 + f. Suppose 5*x + 5 = 5*m, 5*x + 0*m - 11 = m. Solve u*d - 15 = -2*r + 3, x*r - 17 = -4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cpc when three letters picked without replacement from {z: 5, s: 1, p: 9, d: 1, c: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 13*l + 4. Suppose -2*k - 2*x + 0 - 8 = 0, 2*x = 0. Let h(w) = w - 1. Let d(o) = k*h(o) - v(o). Let i(z) = -z. Calculate i(d(t)).\nAnswer: 17*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*t**2 - 4*t**2 + 5*t**2.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/349728 and -111\/20.\nAnswer: 1748640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 366 + 390 = 0. Solve 0*u + 4*u = -h, 10 = 4*p - 2*u for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -p + 2*p + 2*j, 20 = 4*j. What is the remainder when (-2)\/(-6) - 6\/36*-46 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + -1 + sqrt(171))*2 + ((sqrt(171)*-1*1)**2 + (sqrt(171) + (sqrt(171) - sqrt(171)*-1) + 5)**2)*-1.\nAnswer: -1735 - 66*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144887?\nAnswer: 144887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 5.5. Let o = -8 + 7.7. Let w = -0.4 - 1.6. Which is the nearest to 0? (a) o (b) j (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from bbbbbbiffbbifffb.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 86 and 43989?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/5 - (-1 + -5 - -2). Suppose -2*x = -3*t + 7, -3*t - x + 3 = 2*t. Solve 0 = 4*r - 2*k + 4*k + l, 0 = -r + k + t for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 2*p. Let n(a) = 2*a**2 + 5*a. Let i(s) = 10*h(s) + 4*n(s). Let v(r) = 3947137 - 3947137 - 42*r**2. Determine i(v(m)).\nAnswer: -3528*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -62411 + -5574?\nAnswer: -70205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-276)\/14 + (-2)\/7. Find the common denominator of 0 - (4 + 7\/s) and (-3)\/(-40)*(-244)\/6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*r, -3*c + 3*r + 5 + 22 = 0. Suppose 3*a = 4 + c. What is the second derivative of -3*j**3 - 2*j + 0*j**4 - 3*j**4 + a*j**3 wrt j?\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/14136 and -49\/217930?\nAnswer: 2615160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -55\/12 or 2\/9441?\nAnswer: 2\/9441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 45 = 2*z. Solve v = 4*v + z for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -5. Let k(b) = -5*b**2 - b + 4*b**2 + 4 + d + 8*b. What are the prime factors of k(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -971669255 + 88.68?\nAnswer: -971669166.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1025459 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 38, 67, 74, 47, -26, -157?\n\"Answer: -2*p**3 + p**2 + 40*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 103*h - 462. Let g be w(5). Suppose 39*m - 103 = g. Factor 1\/7*q - 1\/7*q**m + 3\/7*q**2 - 1\/7*q**3 - 2\/7.\nAnswer: -(q - 1)**2*(q + 1)*(q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 2*a - 3, 3 = -a + 2*a. Let b = -3 + i. What is the derivative of 0 + b*t - 2 - t + 0 wrt t?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -357*a**3 - 3*a + 3*a + 410*a**3.\nAnswer: 53*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(3) + sqrt(3))**2*-5 + -2*sqrt(432) + -1.\nAnswer: -1216 - 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -139 and -876.9.\nAnswer: 121889.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67944 is divided by 102?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 143*t - 1286. Determine y(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/(b**(-1\/2)*b)*b)\/b)\/b)\/(b*b**(-1\/6))*(b**(2\/7))**(2\/23) assuming b is positive.\nAnswer: b**(-149\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 86*u**2 - 3*u + 3. Calculate the remainder when o(1) is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4280*j + 13071*j + 1231921 for j.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 601 is divided by 90.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - s**2 - 6*s + 4. Let l be z(4). Suppose -2*p - 33 - 13 = -4*r, 3*r + 5*p - l = 0. Calculate the remainder when 41 is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o - 17*o + 14*o = -272 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 147854033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 29*s**3 - 15*s**2 - s - 5. Let l(t) = -14*t**3 + 7*t**2 + t + 3. Let u(g) = -9*l(g) - 4*v(g). Is u(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) - (sqrt(75) + sqrt(75)*3 + sqrt(75))) + 5 + sqrt(75) + -5 + (sqrt(75) - -4*1*sqrt(75)) + -4)**2 + -5.\nAnswer: -80*sqrt(3) + 311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 8:30 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 4 + d + 1 + 8*d**2 - 5*d**2 + 2. Calculate o(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1383*x - 1378*x + 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 16 = -3*v, -l + 3*l + 10 = -2*v for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(7\/2)))\/o*o**(-19\/4))\/(o\/o**7*o)**49 assuming o is positive.\nAnswer: o**(943\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 7418*t**2 + 98 + 7398*t**2 to u + d*t**2 + y*t and give u.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3 + 14 = 5*t, 0 = -3*s + 2*t - 10. Let v = 6 + s. Let q(z) = -v*z + 0 + 3*z**2 + 0 - 2. Let u(a) = 2*a**2 - a - 2. Calculate 3*q(n) - 4*u(n).\nAnswer: n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.2 (b) 293 (c) 2\/9 (d) -1\/14 (e) 3 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2100302 a multiple of 475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nmr when three letters picked without replacement from rnmq?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 161, 267, 551, 1097, 1989, 3311?\n\"Answer: 14*t**3 + 5*t**2 - 7*t + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-2\/9)*g)\/g**(-10\/9))**27 assuming g is positive.\nAnswer: g**78","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, p: 3, t: 3, q: 1, e: 1, v: 3}. Give prob of picking 1 p and 1 e.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*d + 505 - 587 + 161*d.\nAnswer: 4*d - 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 11:44 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 3*u**2 + 4. Let y be q(3). Let l(s) be the first derivative of -1\/2*s**2 + 1 - 2*s. Determine l(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + m - 2, 5*u - 7 = -2*m - 1. Let h be (96\/54)\/(u\/(-236)). Let p = -210 - h. What is the second smallest value in 3, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-4)\/(-48)*6)\/(-2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7862962.\nAnswer: 2, 3931481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 21.03. Let g = -0.02 - h. What is g rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 2*o**2 + 2*o. Let i be b(4). Let v = 41 - 241\/6. What is the common denominator of (-315)\/i - 4\/2 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296101228 to the power of 1\/4, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6 times -1.25496\nAnswer: 7.52976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -470*b**5 + 236*b**5 - 32*b**2 + 236*b**5 + (4 - 3 + 0)*(-5*b**5 + 2*b**5 + 2*b**5).\nAnswer: b**5 - 32*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 4, -3\/4, 0.174, 1\/118 in descending order.\nAnswer: 4, 0.174, 1\/118, -2\/5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 156242135?\nAnswer: 156242137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4321424 or 4321426?\nAnswer: 4321426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-114 - (23 - (19 - (17 + -36))))?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)*-4)\/sqrt(2) + sqrt(300) + 4)**2.\nAnswer: 16*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -13*d**3 + 7*d**2 - d - 11. Calculate q(-2).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/5 of a minute?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3064570 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*f + 7528, -24*f + 20*f = -4*l - 6016. Calculate the highest common divisor of f and 1160.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -11. Let c(d) = -d**3 - 9*d**2 - 8*d + 7. Suppose -3*a = -24 - 36. Calculate the remainder when a is divided by c(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (555\/(-740))\/(2\/6*(-81)\/(-6))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1143?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**3 - l**3 - 2*l**3)*(-2*l**2 - l**2 + 2*l**2)*(-2 + 1 + 0).\nAnswer: l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 5:46 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -8 + 20. Suppose 18 + 18 = m*o. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-180)\/(-27) - 8)*4278\/124.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*((4 - 7 + 2)*(0 - 1 - 1) + 2 - 4 + 13)*(18*k - 2*k - 5*k).\nAnswer: 286*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1093314 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s**2 + 3*s**3 - 8 - 2*s**3 - 9*s**2. Does 25 divide c(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1276 - 767. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 + 128744*l - 42789740.\nAnswer: 4*(l - 329)*(l + 32515)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28809 and 873.\nAnswer: 28809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h. Let c(p) be the first derivative of 2\/3*p**3 + 0*p + 21 + 1\/2*p**2. What is c(j(o))?\nAnswer: 8*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0.3, -0.1, -5\/2, -1\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 0)\/(2 - 1). What is the nearest to y in 1\/3, 0.3, 2\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*r + 10*r + 2*r - 2*r + 270 + 6*r.\nAnswer: 3*r + 270","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 360\/7? (a) -101 (b) -1.8 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a**2 - 264*a - 651. What is the remainder when 328 is divided by y(-63)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f*h - 45*f*y + 2964*h*y + 54 wrt h.\nAnswer: 2*f + 2964*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -6*u - 12. Solve 4*y - 2*l = 20, 0 = -2*y + 5*y - u*l - 18 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, -29, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4102471424?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 418*j**2 + 0*j + 1 - 419*j**2 + 3*j to the form i*j**2 + p + z*j and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 5*u**3 + 14*u**2 + 5*u - 8. Let j(v) = 2*v**3 + 5*v**2 + 2*v - 3. Let s = 18490 - 18487. Give s*x(n) - 8*j(n).\nAnswer: -n**3 + 2*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 1250 = 2*j - 111, -2*t + 764 = j. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*d - 415*d + 7912 = -35*d for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(6)*1) + ((sqrt(605) - (sqrt(605) - -3*sqrt(605)))**2 - sqrt(5)) + -1)*6 + 3.\nAnswer: 32667","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p - 1. Let x(y) = -y**3 + 8*y**2 - 7*y - 1. Let r = 49 - 42. Let v be x(r). Let m(o) = -3*o - 2*o + 8*o - 2 + 4*o. Give v*m(g) + 4*w(g).\nAnswer: -3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.375349ng in tonnes?\nAnswer: 0.000000000000005375349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 7*k**2 - 2*k - 7. Let a(o) = -o**3 + 3 - o**3 - 7*o**2 - 7*o + o**3. What is the remainder when y(6) is divided by a(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-636)\/(-4)*1\/3. Suppose 5*f - 238 = -s. Suppose 5*o - 3*a = f, 6*o = 2*o + 3*a + 29. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + g**2 + 4)*(3 + 4*g**3 - 11624*g**2 - g + 11625*g**2 - 2*g**3).\nAnswer: 2*g**5 + g**4 - g**3 + 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 187 = -5*y, 4*r = 3*y - 2*y + 341. Suppose r = -g + 433. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bhbhhhbhbhhbh. What is prob of sequence bbh?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -417659033*f**2 - 113945066 wrt f.\nAnswer: -835318066*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 16 = 4*z, z - 22 = 3*n + 6*z. What is the smallest common multiple of (n - 2) + 2 - -2 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 3*c + 20 = 0, -5*c - 23 - 7 = t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -5*m + 141, 0 = -4*p - 0*p + 5*m + 83. Solve p*k + 20 = 42*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 - 4 + 4)*(h - 3*h + 2 - 481*h**2 + 478*h**2).\nAnswer: 6*h**5 + 4*h**4 - 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 4*z, -3*l - 5 = 4*z - 0*z. Let h be (-338)\/((2\/4)\/(-1)). Suppose h = l*a - 379. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 12, 6, 4 in descending order.\nAnswer: 12, 9, 6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27193 and 1207.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*k + 304145 = 304985 for k.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 242\/7*j - 104\/7 - 18\/7*j**2.\nAnswer: -2*(j - 13)*(9*j - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000419281778 to seven decimal places.\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 3. Let b be (-22)\/d*1*-2. Let p be ((-3)\/(-2))\/(-5 - b). Is -1 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 3.4. Let f = 0.5 + i. What is the nearest to 1\/3 in -0.5, f, -0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 32 (b) 2\/5 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -31, -78, -149, -256, -411, -626, -913?\n\"Answer: -2*d**3 - 33*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35 by 3.\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 263 - 260. Solve 2*d + 4*z - 20 = 0, y*z = d - 4*d + 15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13313 - 0?\nAnswer: -13313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8190 and 425295?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*l**2 + 418*l + 0*l**3 - 6*l**2 + 4*l**2 + 7*l**2 - 2*l**3 as d*l**2 + c*l + y + u*l**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 430001396?\nAnswer: 2, 11, 9772759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 8*l + 9. Suppose 0*d = -3*d + 21. Let x be c(d). Let i = 27\/4 + -131\/20. What is the biggest value in x, i, -1\/11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -822 and -13.\nAnswer: 10686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9912.83 micrograms?\nAnswer: 0.00000991283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, 0.1, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b = 20*b - 52. Let r = 29 + b. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-1 - (-2 - -1)) - 12) + 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-4 + (7 - 4)) - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 76 = -5*o + 351, -3*k = -21. What is the least common multiple of o and 156?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k - 2. Let m(r) = -2*r - 5. Let o(d) = 4*m(d) - 10*z(d). Let h(t) = 69 - 2*t - 69 - 14*t. Give o(h(s)).\nAnswer: -32*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 229455 and 209970.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 0.1 (c) 0 (d) 363 (e) -1 (f) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.36681 - 0.392587. Round y to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 15 = -3*u + 2*u, -3*u - 3 = 4*i. Let q = 25\/4 + -13\/2. Let s = q + -1\/4. Which is the smallest value? (a) 1 (b) i (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 7. Suppose d*y - 2*y = 16. Solve -y*p + 26 = 6, 2*j = -p + 13 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 4*q - 69, -4*c - 32 = 8*q - 132. Factor -16*p - 152\/9 + 2\/9*p**q - 10\/3*p**2.\nAnswer: 2*(p - 19)*(p + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*u**3 + 21 - 55 + 3*u**2 - 2*u**2 + 4*u**4 + 23 + 30*u**3 to the form v*u + i*u**2 + t*u**3 + l*u**4 + w and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(9072)*-3)\/(sqrt(18)\/(sqrt(12)\/(sqrt(30)\/sqrt(5)))).\nAnswer: 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, a: 3, c: 2, n: 2}. Give prob of picking 1 n and 1 h.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lazz when four letters picked without replacement from {s: 4, z: 2, l: 4, a: 1}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*d - 63*d - 62*d - 61*d + 8844*d**2 - 8837*d**2.\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + t = -15541, -17110 = -5*l + 4*t - 1581. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by ((-48)\/(-70) + (-16)\/56)*(-150)\/(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z - 3*z + 3*z. Let a(h) be the first derivative of 3*h**3\/2 - 33*h + 3. Let c(n) be the first derivative of a(n). What is c(s(b))?\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 753\/8 + -94. Let r = -62 - -62.1. Which is the nearest to r? (a) -1 (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 22, -7\/2, 0.5, -1\/4?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.12 - -0.52. Let f = -13.1 - -17.1. Let x = 2004\/11 - 182. What is the nearest to x in f, 4\/3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/139 + 425\/1112. Which is the third smallest value? (a) r (b) -5 (c) -1\/6 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 371 (b) -2\/3 (c) 2 (d) -2\/19 (e) -57\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13111369 rounded to the nearest 10000?\nAnswer: -13110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 24*c**2 + 24*c + 27. Determine a(-23).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 7*u - 11 = i, 3*i - 5*u + 5 = 0. Let t be 2\/((-56)\/132) - i. Sort 0.3, -8, t in ascending order.\nAnswer: -8, t, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s = -6*s + 6*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12997 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 + 8*f**2 - 5*f**2 + 10*f**2.\nAnswer: 13*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13563, -16241, -20705, -26955?\nAnswer: -34991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and -31976?\nAnswer: 31976.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/9 + 0)*8\/(-48)*-9. Solve -q*d = 5*c + 3*d - 15, 14 = 2*c - 2*d for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -388*o**3 + 580*o + 314. Differentiate f(h) wrt h.\nAnswer: -2328*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (3 - -16) - 10\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143 divided by -1.\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43692168?\nAnswer: 2, 3, 13, 131, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m - 4*m = 100. Suppose 693 = m*g - g. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 14*g**2 + 61*g + 254. Calculate the least common multiple of t(-4) and 104.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 684 and 408.\nAnswer: 23256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 34 - 5*b + 3*b**2 - 35 - 2*b**2. Calculate d(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261110 is divided by 62?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -19230.3, -0.4 in decreasing order.\nAnswer: 23, -0.4, -19230.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -90*o**2 - 6*o**3 + 19*o - 8*o**3 - 76*o**3 + 53*o - 138*o**2 + 21*o**4.\nAnswer: 3*o*(o - 6)*(o + 2)*(7*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-129)\/(-84) + -1 - 6\/21.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 14*i + 8. Which is the second biggest value? (a) -2 (b) i (c) -3\/4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 348*j**3 - 359*j**3 + 827*j**3.\nAnswer: 816*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 f when two letters picked without replacement from {v: 4, y: 1, l: 6, f: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 789*f + 8464. Determine k(15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 1065 (b) -7 (c) -70\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 3 - (0 - 3). Let x(m) = m**3 + 2*m**2 + m + 2. Let r(k) = k**3 - 4*k**2 - 4*k - 7. Let f be r(5). Let t be x(f). Solve -d*z + t = -20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 - -79. Let n = 31 - l. Let w = 2 - -1. What is the third smallest value in -3\/4, n, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - (6 - 3 - (-10 + 7 + 1))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1\/1)\/((-165)\/110)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/561 and 54\/2057.\nAnswer: 6171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14001 (base 5) to base 15.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/159 in -2\/5, -57, 5, -0.5, -0.7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/sqrt(5) + 5 + -3 + -4 + sqrt(35)\/(sqrt(20)\/sqrt(4)))*-4.\nAnswer: -8*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of y**5\/60 - 3*y**4\/8 + 7*y**3\/6 + 32*y**2. Let w be o(8). Sort -4, w, 2 in decreasing order.\nAnswer: 2, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.144 and 194.919222?\nAnswer: 196.063222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 965, 4613, 10657, 19079, 29861, 42985, 58433?\nAnswer: 76187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -347*y + 2464 = -201*y + 274. Solve -10 = 17*a - y*a, 2*s = 3*a + 7 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - 1b677?\nAnswer: -1b681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-24)\/48 + 0\/1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4234 divided by -2.\nAnswer: -2117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 3 + 2)*(-3*w + 0 + 0) - 1 + 1158*w - 1169*w - 2 in the form n + l*w and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - r - 12 = 0, 5*r - 12 = -32 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1234140 divided by -6140?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -154.5 less than or equal to 80424?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -5*a**3 + 2*a**2 - 2*a + 1. Let q be h(1). Let c = -3 + q. Let f = c - -8. Solve 0 = -2*o - 3*g + f, o + 2*g = 1 + 1 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -14. Let j(k) = -4*k**2 + 28*k + 10. What is the least common multiple of 25 and j(t)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.46 + -0.08. Let t = -3.1 - i. Let w = t + -4.44. Which is the second biggest value? (a) 0.1 (b) w (c) 2 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (82 - (-417040)\/(-5070))*81\/(-15).\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -z**6\/60 + 17*z**5\/30 - z**4\/8 + 10*z**3\/3 - 3*z**2 - 14. Let s be n(17). Which is bigger: -35 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43 or 80?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + 8. Find the first derivative of -44 + v*s + 32*s - 28*s wrt s.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 - (-35 - -62 - 44).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -498\/5 greater than -101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 249299475 to the nearest integer?\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/3? (a) 451 (b) 3 (c) -358 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3*z - 22 = 0, 5*r - 24 = r - 4*z. What is the remainder when 7 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6259107 is divided by 19378?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(567)*2 - sqrt(567)).\nAnswer: 5 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 338.7905 millilitres in litres?\nAnswer: 0.3387905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -30*d - 41. Let q(p) = -p. Let b be (((-72)\/42)\/(-3))\/((-2)\/7). Let z(j) = b*h(j) + 6*q(j). What is the first derivative of z(x) wrt x?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2326501 + 3?\nAnswer: -2326476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 73710 by -135.\nAnswer: -546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.6, 8 in descending order.\nAnswer: 8, -0.6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -23, 1335209 in descending order.\nAnswer: 1335209, 15, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/4 and 19\/1163.\nAnswer: 4652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 335*v = 332*v + 4*p + 15, 48 = -12*v - 2*p for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27392083 and 663.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3362\/3 - 1082. Let z = j - 39. Which is the closest to z? (a) -0.3 (b) 1 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - -1) + -11 + 4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3 + (1*-1*sqrt(170)*1)\/(sqrt(50)\/(-3*(-2*sqrt(5) + sqrt(5)) + sqrt(5))).\nAnswer: -4*sqrt(17) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23148331, 23148324, 23148317?\nAnswer: 23148310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 7*w - 402 = 0, 349*j - 174*j = 174*j - 3*w - 103 for j.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2302, 2070, 1464, 304, -1590, -4398, -8300, -13476?\n\"Answer: -30*x**3 - 7*x**2 - x + 2340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 + 5*s**3 + 3*s - 2*s**3.\nAnswer: s**3 + 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5 = -1. Suppose -n = d*n - 6. Solve -n*r = -0*r - 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6265952?\nAnswer: 2, 7, 11, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -521*c + 355 - 9733 = 0 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 1\/3 (c) 4 (d) 0 (e) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6491 + -6493. Which is the fifth smallest value? (a) 4 (b) 1\/5 (c) 2\/27 (d) 1 (e) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-3)*(2 + -80). Suppose n = -3*a + a + 78, 0 = -2*n - 2*a + 156. Calculate the greatest common divisor of n and i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 124, -1, 1, -3, 4, -1347 in descending order.\nAnswer: 124, 4, 1, -1, -3, -1347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/5))**(-5\/4)*((z**(-3)*z)\/z*z*z)\/z*z\/(z*z*z**(-3\/2)) assuming z is positive.\nAnswer: 1\/z","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**4 - 5056*c**3 - 1323226*c**2 + 2661624*c - 1333341 = 0.\nAnswer: -4779, -279, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f + 23. Let z be l(11). Calculate the highest common divisor of z and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6a0283a (base 11) to base 14.\nAnswer: -18a9d13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 182387857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 5*t**2 + 4*t. Let c be v(4). Let p(d) be the second derivative of c - 1\/2*d**3 + 4*d - 1\/2*d**2. Give p(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12371561 (base 8) to base 6\nAnswer: -134532121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3355993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 6*m**4 - m**3 + 5*m**2 + 18*m - 509. Let j(o) = 7*o**4 - o**3 + 3*o**2 - o + 2. Let y(b) = j(b) - p(b). What is the derivative of y(g) wrt g?\nAnswer: 4*g**3 - 4*g - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -812*r + 1587 = 740*r - 1483*r for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**2 + 7*l - 4. Determine n(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*a - 4 + 4)*(-2*a + 0 + 0)*(-23 + 15 - 9) in the form f*a**2 + g*a + o and give f.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37445*o**2 + 10356*o wrt o?\nAnswer: -74890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 3*g + 4*g)*(-1 + 0 - 1) + 342*g + 253*g - 458*g.\nAnswer: 135*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 34\/13*d**3 + 180\/13*d**2 + 216\/13*d + 2\/13*d**4 - 432\/13 = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8664*b*f - 76*b + 78 wrt f.\nAnswer: -8664*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -93 or -94?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -13578\/5 not equal to -2716?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 315.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 231*h**2*u**2 - 4*h**2 + 2*h*u**2 + 67*h + 3*u**3 with respect to u.\nAnswer: 462*h**2*u + 4*h*u + 9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 638961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69240*-0.4.\nAnswer: 27696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 6*z**2 - z - 2. Let h(f) be the first derivative of f**4\/12 - f**2\/2 - 11*f - 9. Let c(m) be the first derivative of h(m). Calculate 4*c(o) - w(o).\nAnswer: -2*o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3251323 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -0*h + 5*u - 5, -2*u + 10 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13838 - 9784. What is the thousands digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -74636?\nAnswer: 74643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5*m = 35534 - 95217, -44771 = -3*o - 2*m. Does 36 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/32 (b) 1\/3 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59352691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -185 + 189. Let o(j) = j + 2 + 0*j - 5. Let n be o(k). Solve 5*i = -3*s - n, 0 = -2*s - 5*i - 0 + 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13700)\/(-225) + -9 + 656\/72?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3487? (a) -1 (b) -0.1 (c) 40.222\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 12450800 to the nearest 100000.\nAnswer: 12500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vxxxxxvxvv. Give prob of picking 1 x and 3 v.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xzlmlxzlxllmz. Give prob of picking 1 l, 2 x, and 1 m.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 80*x - 81*x + 10, -2*x = -2*p + 4 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 67890 (b) -125 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 138, 457, 1072, 2079?\nAnswer: 3574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0 - 2 = 0. Let m = 1\/737 - 7393\/16951. Is m greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) 7 (b) -23 (c) -4\/7 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -n**6\/360 + n**5\/120 - n**3\/6 + n**2. Let j(o) be the first derivative of v(o). Solve j(k) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 53 + -76 - (-30 + 1). Solve 5*d + m = 2*g, -5*d - 8 = -5*g + 4*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4*c - 3. Let i(p) = 38*p - 23. Let h(k) = 14*b(k) - 2*i(k). Let r(x) = 4*x**2. Calculate r(h(m)).\nAnswer: 1600*m**2 - 640*m + 64","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and 1744?\nAnswer: -1220.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4\/5, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(1\/2)*c**(-3)*(c**(-1)\/c*c)**(-30)*((c\/(c*c**(5\/4)))\/c*c)\/((c*c\/(c*c**(-6)))\/c)*c\/c**(1\/3)*(c*c**(1\/6))\/c assuming c is positive.\nAnswer: c**(265\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -97, -3\/5, -2, 4 in ascending order.\nAnswer: -97, -2, -3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56 + 56 + 21*b to the form i*b + o and give i.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*o - 45 + 42 + 5*o)*(-139*o - 82*o + 182*o) to the form z + g*o + l*o**2 and give g.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 4:49 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z + z - 4*z + 6*z. Let c be m(-16). Let g be -3*(-2)\/(-3)*-12. Calculate the greatest common divisor of g and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87853487173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 110*i**2 - 3*i - 2. Let h be z(-6). Let n = -190879\/48 + h. Calculate the common denominator of 65\/22 and n.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v + 60 - 9*v + v - 145.\nAnswer: -2*v - 85","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42056\/1848 + -23)\/(12\/(-22))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4375 and 16025?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l + 7*l + 8*l.\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2*7\/((-126)\/48)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j\/j**(-1\/7)))\/(j*j**(-1)))**8)**(-21\/5))**19 assuming j is positive.\nAnswer: j**(456\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2239535103 to the nearest integer?\nAnswer: 1308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a decade?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*i**2 + 31*i**2 + 12*i**2)*(-2*i - 3*i + 6*i) - 5*i**3 + 3*i**3 - 9*i**3 + (7*i - 7 + 7)*(-3*i**2 - 4*i**2 + 5*i**2).\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -0.08 (c) 0.2 (d) -0.4 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*i = 42*i + 5270. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/5 (b) -1\/4 (c) -2 (d) -89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**3\/15 + 2428*l**2\/15 + 736898*l\/15 = 0. What is l?\nAnswer: -607, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-4 + (-3 - 1) - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + 11 - (-6)\/2. Suppose -4*u + 3 = -z. Suppose -3*p + 12 = u*d - 82, -3*d + 2*p + 45 = 0. Calculate the remainder when 82 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z = -2*w + 32, -17 = 19*w + 28*w + 145 + 47 - 37 + 16 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 - -90. Let d = h + -24. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 0.82390593.\nAnswer: 4.11952965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 304 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 20. Let h(r) = f*r**2 + 18*r - 10 + 18 + 2*r**2 - 9. List the prime factors of h(-9).\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.07, 2\/11, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 12 = 3*m, 5*a - 15 = -3*m + 5*m for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20000755 (base 8) in base 4?\nAnswer: -100000013231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xor when three letters picked without replacement from rududrxdooouoxxxdod.\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 16, 39, 76, 133?\nAnswer: 216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117 + 401 = 74*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 65.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a century in months?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 205743 + 341*z + 224*z + 2*z**2 + 237939 + 1319*z = 0.\nAnswer: -471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g + 2. Let k(l) = -8*l - 9. Let n(q) = 23*q + 630. Let p be n(-27). Calculate p*h(s) + 2*k(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 v when three letters picked without replacement from {v: 4, i: 6, u: 9}.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48924 and 27180?\nAnswer: 244620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89905?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.9 + 8. Let k = -4 + u. Let h = -8.3 + 8. Put h, k, 2\/5 in descending order.\nAnswer: 2\/5, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffff. Give prob of sequence ffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.30509, 1, -14 in decreasing order.\nAnswer: 1, -0.30509, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -9*g + 5. What is x(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12000032010 (base 4) to base 12.\nAnswer: -63a8b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/18*3*(-1029)\/(-14)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-2)\/5*(-16 - -6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216032.\nAnswer: 2, 43, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 364976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 172340231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17958 - -25378. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -275726*o - 417095 wrt o.\nAnswer: -275726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -13*o - 7. Determine f(-4).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f - 6. Let z = -128 + 118. Let i be s(z). Solve i*c + 4 = -8 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -776287.31412 and -0.6.\nAnswer: -776287.91412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -326*0.06\nAnswer: -19.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0*r = 5*z + 22, 3*z = r + 14. Let k = 111329\/7 + -15913. Does k = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, p: 2}. Give prob of picking 2 p.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 5*h - 276, -g + 4*g = 3*h - 162. Calculate the remainder when h is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 472 + -352. Suppose 8*z = 16*z - y. What is the remainder when 19 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/3)\/(6\/81). Suppose 2*v + 3*u + 9 = 0, 5*v + 5*u + g = -1. Suppose 2*y - v*l = -y + 48, 2*y = -4*l + 26. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 29485.82ml?\nAnswer: 29.48582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*m - 22. Suppose 3*u + 360 = m*u. What is the highest common factor of 9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6345010 (base 7) in base 5?\nAnswer: 144031031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 88\/537737 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 x when three letters picked without replacement from {k: 4, x: 2, e: 2, d: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5 + 8 = -4*h, 0 = -2*u + 4*h - 22. Let a = 0 - u. Let m(v) = v**2 - 7*v + 2. Give m(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000022012711867 to seven dps.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.12957 - -1389538?\nAnswer: 1389534.87043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 276 divided by -68?\nAnswer: -69\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(675)*2 - sqrt(162)\/sqrt(96))\/(sqrt(90)\/(sqrt(10) + sqrt(80)\/(-2*sqrt(8)))*-6).\nAnswer: -13*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 8:09 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + 3. Solve -v - 3*x = -0*x - q, -v + 27 = 5*x for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**5\/5 + 164*r**4\/5 + 1736*r**3\/5 - 15324*r**2 - 700074*r\/5 + 545832 = 0.\nAnswer: -57, -35, -12, 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**4 + 3*j**4 + j**4)*(1 - 6 - 2 + 4 + 1 - 3 + (3 + 0 - 1)*(0 - 2 + 4)).\nAnswer: -2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -7, 1, 5\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 616445 - o - 616445.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(16\/(-3)))\/(6\/(-840)). What are the prime factors of (-2)\/15 - (-1379)\/y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.4 - -13.461. Let b = -15.439 - y. Let g = b - -29. What is g rounded to zero decimal places?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -36*q - 3. Let w be t(-1). Calculate the greatest common divisor of 22 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*k = -58, 2*h - 40 = 3*k - 7. Suppose -15 = -3*t + h. Solve -5*r + 3*d = 10, t = -0*d + 2*d for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -139 - -144. Suppose 3*v - x*v = 0. Let l be (8\/6)\/(2\/3). Solve v = l*t + 4*h + 4, -2*t - 4 = -6*t + 4*h for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2 = 4*k + 8, -4*j + 44 = -5*k. Suppose -j*d + 490 = -1232. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, -0.1, -0.047?\nAnswer: -0.047","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3431*w + 277448 = -81*w for w.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-32)\/(-6)*45\/20. Suppose -5*k + 2 = b. Let d be 5\/(15\/12) - -1. Sort 2, k, d.\nAnswer: k, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -615 + 650 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 0.58?\nAnswer: -0.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*g = h + 8, 4 = h - g. Suppose 5*p + p = h. Suppose -4*c + 528 = -0*c + 4*y, p = -5*c - y + 656. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 17*f - 13. Give x(13).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 6*o**2 + o + 8. Let x(w) = -w**3 - 5*w**2 - w - 7. Let a = -14 + 19. Suppose 3*j - 45 = a*n, -n - 4*n - 5*j = 5. Determine n*x(h) - 5*l(h).\nAnswer: h**3 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-68)\/160 - 0 - 2. Let k = -21\/8 - t. Which is the smallest value? (a) -3 (b) k (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (56\/2)\/(8 - 1840\/232)?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tchh when four letters picked without replacement from {t: 4, h: 3, d: 3, c: 4}?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -833\/2 - -396. Let k = -4801 + 2337. Let r = k - -9927\/4. Find the common denominator of r and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + r - 1 = 0, -5*y - 3*r = -8*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (9\/375*10)\/((-8)\/28 + (-1072)\/(-3360))\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2428 - -41.01369?\nAnswer: -2386.98631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 9. Let d = 12 - g. Calculate the remainder when 9 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (2 - -2)) + 3 + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 829399?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s + 233 = -2302. What is the lowest common multiple of 24 and s?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0997138 rounded to 4 dps?\nAnswer: 0.0997","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) 0.3 (c) 76 (d) 0.0328\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -122 - -212. Let r be (335\/10)\/(3\/(-12)*-2). Suppose -v - r = -d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 - -25. What is the closest to d in 1, 0.5, -2\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**3\/15 + 760*t**2\/3 - 541214*t\/5 - 3478884 = 0. Calculate t.\nAnswer: -30, 717, 1213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 2*h + 5*x - 1, 0 = -2*h - x + 5. Calculate the greatest common divisor of 15 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2*x - 18 = 0, 3*j - x + 6*x + 5 = 0. Suppose -4*w = -j*p + w - 85, -1 = -p - 5*w. Let s = -6 - p. What is the highest common divisor of s and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 1:32 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**3\/3 + 416*t**2 + 3757*t\/3 - 1668 = 0.\nAnswer: -4, 1, 1251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f - 3*f + 2*f. Let a(t) be the second derivative of 3*t**4\/4 - 3*t. Give a(k(b)).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-44)*(-86)\/(-129). What is the third smallest value in 0.2, g, 1, -0.01?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 + 128767*r + 61519668.\nAnswer: -(r - 129243)*(r + 476)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -24 times 28\nAnswer: -672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from drsvtrrtdstvsttt. What is prob of picking 1 s and 2 v?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 + 3 + (0 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (88\/3)\/((-592)\/1776)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 212003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -6 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 404, 1788, 4074, 7250, 11304, 16224?\n\"Answer: -2*q**3 + 463*q**2 + 9*q - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/2*35\/(-5). Let l = h + 12. Calculate the remainder when l is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22023 + -3?\nAnswer: 22020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 6*l**2 - 8*l + 6. Is 10 a factor of o(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.17 (b) -17955 (c) -283\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.015362314 rounded to three decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 11*a**2 - 11*a - 18. What is n(-2)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - t - 39. Let x be w(0). Let f be 2\/3*x\/(-2). Suppose -3*j + 32 = -f. Calculate the remainder when 28 is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l - 4*l + 0*l)*(3*l + l - l)*(-l - l + 0*l).\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 120127421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7 - 136\/24)*3\/2. Suppose -2*t + 344 + 288 = 0. What is the tens digit of (-5 + t\/(-8))\/((-1)\/g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21.981 - -0.019. Let b = 25 - 43. Let q = b + x. Put -4, 2, q in increasing order.\nAnswer: -4, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (16 - (11 - 0) - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.303 rounded to zero decimal places?\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -2. Let p(x) = x + x**3 - x + 2*x - 6*x**2 - 6 + s*x. Let w be p(5). Solve 3*h - w*v - 17 = -0*v, 4*v + 21 = -h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 10 = -3*t. Let i be t*3\/((-6)\/2). Suppose -47 = i*u - 197. Round u to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116526 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**5\/7 - 24*n**4\/7 + 44*n**3\/7 + 96*n**2\/7 - 46*n\/7 - 72\/7 = 0.\nAnswer: -1, 1, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9672.183 years to millennia.\nAnswer: 9.672183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a - a + 5*a)*(2 - 2 + 2*a**2) + 2*a**3 + 4*a**3 - 5*a**3 + 236*a - 236*a - 3 - 10*a**3.\nAnswer: -7*a**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 91940.89mg?\nAnswer: 0.09194089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16593330 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 61 - 60. Let u = -10911 + 10920. Sort u, r, -1.\nAnswer: -1, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5949928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -225157 in 4, -3, -2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4709.\nAnswer: 17, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -11 - (-3)\/(-3 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**2 - f**2 + 0*f**2 + (-8*f - 12*f - 37*f)*(-f - 4*f + 6*f).\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 29296350 to the nearest one million.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -334 - 2213154?\nAnswer: -2213532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 56.\nAnswer: -16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(sqrt(40)\/sqrt(4)*-6).\nAnswer: -sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 352 a factor of 442768508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*f**2 + 448*f**2 + 4*f**4 + 511*f**2 - 269*f**2 + 79*f**3 + 607*f**2 wrt f.\nAnswer: 96*f + 474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 1 = -5*q - 149, 0 = -2*t + 4*q + 54. Let n = 98\/3 - t. Which is the smallest value? (a) 2\/3 (b) -0.2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {b: 2, m: 2, f: 3, i: 2, z: 1, p: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-2776)\/(-43722))\/((-10)\/(-135))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*h + 7. Let z(g) = g + 10. Let w be z(-9). Let m = w - 4. Sort h, 3, m in increasing order.\nAnswer: m, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(14)\/sqrt(7) + 2) - (1 + -4*(sqrt(8))**2).\nAnswer: 3*sqrt(2) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 3*o + 4. Suppose 5*v = -15, 0*v = 3*b - 5*v - 27. Suppose 2*k = -4*l + 6, -l - b*l - 3 = -k. Determine y(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1715 in -1\/9, -17, -3\/8?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjkkccjjkjjjccjjjkkk. Give prob of picking 1 j and 1 k.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 356, 719, 1086, 1457, 1832?\n\"Answer: 2*s**2 + 357*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8697300, -17394603, -26091906?\n\"Answer: -8697303*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*s - 12, 2*s + 4 = 4*o - 3*o. Let w be 0\/(s + 3) + -1. Let y(l) = l - 1. What is y(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -89a05 (base 12) to base 6.\nAnswer: -3530405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/35, 0.1, 1\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -2\/7 (c) -9194 (d) 0.031 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 13*o**2 + 155*o - 7. Let b be f(-12). Sort 3, b, -2, 2.\nAnswer: -2, 2, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*g**3 - 137*g**3 + 205*g**3.\nAnswer: -86*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8755, -35346, -79665, -141712, -221487?\n\"Answer: -8864*y**2 + y + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 69 - 25. Let a = -20 + -2. Let c = a + m. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.51 - -0.49. Sort 2, k, -0.2 in ascending order.\nAnswer: -0.2, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285041681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - n + 34 = -4*n, -4*q = -2*n - 26. Suppose 2*m = q*m + 9. Let x = 4 - m. What is the smallest common multiple of 7 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or -1\/4298?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1435*o**2 + 3181*o**2 - 1262*o**2)*(0 - 3 + 5) in the form y*o**2 + v + q*o and give y.\nAnswer: 968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*g + 17*g + 50 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -2*a**3\/3 - 6*a**2 + 5*a - 53. Let z be ((-2)\/(-2) + 8)*180\/(-270). What is i(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4*r + 30 = 0, 0*r = -2*f - 4*r + 20. Let n be (-43958)\/(-8) - f\/(-40). Suppose 4*a + 192 + 3105 = 3*s, -5*s + 3*a + n = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 22*z**2 + 4*z**2 + 4*z**2 - 3*z**2 + (-8*z + 59*z - 33*z)*(2 - 2*z - 2).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*p = -8*v + 4, -v + p = 1. Let h(j) = 10*j**2 - 4*j + 6*j - 9*j**2 - v*j. Let i(d) be the second derivative of 6*d**3 + d. What is i(h(f))?\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 345 = -3*u, 5*q - u + 5*u - 580 = 0. Let d = 190 - q. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 9*v + 47. Calculate o(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 9:28 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58 + (-403)\/682*94.\nAnswer: 27\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 24 = -2*l. Suppose -5*s = -s - l. Solve 3*c = -c - 2*n - 16, 4*c - 3*n + s = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 7:22 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-498)\/581)\/(6\/(-14)). Solve -z*c + 10 = 0, -3*p - 4*c = -7*c + 9 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 9*g**2 + 35*g - 123. What is the units digit of y(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*a, 4*a + 8 = 64*r - 63*r. Solve 5*g - 1 = -n, 4*g = r*n - 3*n - 1 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-79)\/(-2)*532\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -185, -676, -1361, -2132, -2881, -3500?\n\"Answer: 18*g**3 - 205*g**2 - 2*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 9213908\nAnswer: -1\/9213908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4 = 0, -5*r - 76716 + 24491 = -5*l. List the prime factors of (l\/4)\/7 - 3.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 57\/63)\/((-11)\/(-33)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -235 - -1647\/7. Sort -115, z, -4 in increasing order.\nAnswer: -115, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w + 12. Let g be o(-8). Does 16 divide 1 + -47*4\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21290729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of 0 - 1\/40*l**6 + 10*l**2 + 43\/6*l**3 + 2*l + 0*l**5 + 1\/12*l**4. Differentiate y(n) with respect to n.\nAnswer: -9*n**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16426546 - -4?\nAnswer: -16426542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168816 + 36*p**2 - 168816.\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 126866 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 21. Suppose z*r - 88 = 4*r. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1512353?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60712740 and 11243100?\nAnswer: 303563700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 82807?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**3\/6 + 17*i**2 - 2875*i\/6 = 0.\nAnswer: -125, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 756 and 5348?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -18, 69, -78.\nAnswer: -78, -18, 2, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*((-3 - -1) + 1). Let h = v + 8. Suppose 2*x = -c + 7, -x - 21 = -h*c - 2*x. Solve 4*d + w + 8 = 0, -c*d + 2*w - 7*w = 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*l - 78*l - 695 - 361 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -3, 95080 in descending order.\nAnswer: 95080, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -146 - 415 + 6*q**2 + 50 - 61 - 8*q**2 in the form i*q**2 + v + u*q and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-58) - 0)\/((-6)\/(-12))\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4*b**3 - b**2 + 2*b - 1. Let l be u(1). Suppose 4*o + l*r = -20, 4*o - r = -0*o. Let n be (-1 - (-9)\/6)*-1. Which is bigger: n or o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g + 2. Let h be k(-5). Let l = h + 10. Sort 1, l, -2 in descending order.\nAnswer: 1, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1123*m + 1191*m = 748 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 777778357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 407*f = -d + 403*f - 44, -d + 4*f + 12 = 0. Put -7, 3, d in ascending order.\nAnswer: d, -7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/48068 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 2458638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32668656?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a**4*z**2 + 8*a**4*z + 26*a**2 + 2*z**2 wrt a?\nAnswer: -72*a*z**2 + 192*a*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 9285\/13 and 713 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*m - 28*m = -12. Suppose -h + 4*p = -4*h, 0 = m*h - 4*p. Is h greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4815 - -16502. List the prime factors of s.\nAnswer: 13, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-540)\/300)\/(21\/(-5))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**3 - o**3 + o**3 + (o**2 - o**2 - o**2)*(-2*o - o + o) + 116 - 71*o**3 - 116.\nAnswer: -67*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a litre in millilitres?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/4 + -1 - 103\/12. Let n = w - -9. Let i = -30\/143 + 4\/11. Which is the second smallest value? (a) n (b) -4 (c) -2 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 20 = -c. Let z be c\/(-5) - 3\/3*-4. Suppose 0 = -2*k + 4*f - 8, 0*f + 4 = 5*k + 2*f. Solve 0 = -z*n - 0*n - 4*l, k = -3*n - 5*l for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 7 + 3 = 3*j, 3*j = -3*d + 6. Let b(p) = -20*p - 4. Let w(h) = -59*h - 11. Let u(i) = -8*b(i) + 3*w(i). What are the prime factors of u(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 2*j = -8. Let l = -282 + 285. Solve l*x + 11 = -r + 1, -r = -4*x - j for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/29, 0, 33, 0.8, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -214, -271, -372, -523, -730, -999, -1336, -1747?\nAnswer: -2238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1832460 - -0.4\nAnswer: -1832459.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -47834.3244 to the nearest 100.\nAnswer: -47800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/18*(-4)\/(8\/(-144)*-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**5 + 44*t**4 + 322*t**3 + 404*t**2 - 320*t - 448 = 0?\nAnswer: -4, -2, -1, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/9 and 77\/1905.\nAnswer: 5715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 771319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5 + 23 = 0. Let h(y) = y**3 + 5*y**2 - 7*y - 4. Let m be h(u). Let w(r) = -r**2 + r + 1. Determine w(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30980.\nAnswer: 2, 5, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 411299377?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -539, -551, -563, -575?\n\"Answer: -12*l - 527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6610576 to the power of 1\/4, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/494 and ((-298)\/(-16))\/(-12 + (-1314)\/(-72) - -5)?\nAnswer: 22230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 449 = 4*n, 260 + 85 = 3*n + 5*a. Calculate the smallest common multiple of 5 and n.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -9, -0.4, -0.11, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/1*(-35615)\/60. Let o = -1165 - z. Calculate the common denominator of 9\/10 and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-21))\/(1\/119). Let x = v + -34. Put x, 1, 2 in descending order.\nAnswer: 2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1694 and 484?\nAnswer: 3388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -122030 (base 4) in base 7?\nAnswer: -4613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -0.042 (c) -268\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 3*d + 5. Suppose 0 = 5*f + 3*j - 21, -j - 14 = -5*f - d. Suppose 4*o - 35 = 1. Solve 4*l - 4*r - o = 3, f*r = 2*l - 9 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 10458?\nAnswer: -1\/1743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 99, 339, 821, 1629, 2847?\nAnswer: 4559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 10120?\nAnswer: -10120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**2 + 57734184*p - 416654500268232 = 0. Calculate p.\nAnswer: 14433546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g**29\/g)*g**(-23) assuming g is positive.\nAnswer: g**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-6 - (-7 + 0))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21312 by 6.\nAnswer: -3552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -4. What is the closest to i in -2, -2\/7, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from ippepiipipci.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -116992 by -6.\nAnswer: 58496\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/1019 (b) -2 (c) 0.08 (d) 33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 889*1\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1289*g - 1290*g = -4*o - 44, -3*o = 3*g - 72 for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b - 2 + 0 - b**2 + 0*b. Let l be a(3). Let y = 3 - l. Calculate the remainder when 5 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1009745668?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 n when two letters picked without replacement from nggngndgnng?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 29.276 - 10370858173\nAnswer: -10370858143.724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 60684847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a microgram in nanograms?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79403244?\nAnswer: 2, 3, 757, 8741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**3 - x**2 + 1. Let w be y(-1). Let c be 5\/(-2 - -5 - 4). Sort 3, w, -3, c in decreasing order.\nAnswer: 3, w, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -3. Let f = -12 - g. Let p = 0.2 + -0.2. Are p and f unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -225.154 equal to -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -11*4\/(-4)*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-3\/7))\/i*i**(-24) assuming i is positive.\nAnswer: i**(-165\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -68 + 407\/6. What is the common denominator of (-4)\/1 - 168\/(-160) and j?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12121 (base 3) to base 14\nAnswer: -ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -5*l**6\/6 - l**5 + 5*l**4\/4 + 5*l**3\/3 + 175. Let p(o) = 0. Calculate o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4128 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/q**(-2\/45)*(q*q**(-4\/11))\/q assuming q is positive.\nAnswer: q**(832\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from ybyybybyyyybbyyyyyyy?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.03 + 0.33. Which is the nearest to -2\/7? (a) -2\/13 (b) j (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-434)\/(-105) - 4\/30. Suppose -18 = y*f - 26. Solve -s + f + 3 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 0, -4*y = -0*q - 3*q. Solve -2*a + 2*j + 8 = y, 0*j - 5*j = 4*a + 20 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1476 is divided by 1412?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 670 and 2140830?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -239\/988 - 2\/247. Which is the closest to y? (a) 9 (b) -5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1913814 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 2\/7, 1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -103*i**2*n**3 + 124*i**2*n wrt n.\nAnswer: -618*i**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31378489 or 31378487?\nAnswer: 31378487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 + -4. Let l = -29 - k. Which is greater: 2\/7 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/10*(-3 + 1). Suppose 0 = n + m*n - 40. What is the common denominator of -59\/18 and (-4 + -22)\/((-56)\/n)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30842 + 61709 - 30829 = -38*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -440365595 divided by -5?\nAnswer: 88073119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*2\/(-9) - 6097\/63. Let f = w + 174. Let r = f + 866. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 91886*v**3*x**3 + 154*v**3 + 1969*v**2 + 383*v*x**3 - 245*v wrt x?\nAnswer: 275658*v**3*x**2 + 1149*v*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 276 and 108?\nAnswer: 2484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 3 (b) -9\/4 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 11:44 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2)\/((-2900)\/180*(-135)\/50).\nAnswer: 1\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + 18 + -31 + (3 - -27).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1960243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 617481 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2430024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**3 + 3*n**4 - 2*n**4 + 1 + 1 + 4*n**4 as l*n**4 + k + j*n**3 + h*n**2 + v*n and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/((sqrt(7) - (sqrt(343) + (5*sqrt(343) - sqrt(343)))) + sqrt(7))*6 + 2)**2 + 3.\nAnswer: -8*sqrt(17)\/11 + 915\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 435*f - 241*f + 759 = 217*f for f.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 0 + 1\/6*o + 1\/6*o**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(9)\/sqrt(3)*-2 - sqrt(12)\/(sqrt(4) + (sqrt(240)\/sqrt(6))\/sqrt(10))) + -1.\nAnswer: -5*sqrt(3)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 + 132829*x + 158476500.\nAnswer: (x + 1204)*(x + 131625)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/816 and 181\/179010.\nAnswer: 1432080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) 1501 (c) -4\/5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/777 and 70\/9.\nAnswer: 2331","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3766 and 7406?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 34 = -130. Is 28 a factor of (-3 - (-4374)\/n)*(-40)\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3168 a multiple of 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i - 4. Let m be y(-7). Suppose 0 = m*b + 2*b - 10. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p - 1. Let n be r(1). Let u be (40\/(-4))\/(n\/(-6)). Suppose -u = -5*c + 2*z - 2, 0 = -c + 5*z + 24. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + 0)*(-28)\/(-12). Suppose -3*v = -h*v + 80. Let f be (544\/(-72) + 7)*-18. What is the highest common divisor of f and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 6*l**2 - 4*l + 1. Let s = 16 - 8. Suppose -4*m - s - 8 = 0. Calculate p(m).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3198*v**2 + 12*v + 12. Let w be j(-1). What is the highest common divisor of 78 and w?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -883 (base 14) in base 5?\nAnswer: -23213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38*f**3*p - 4*f**3 - 6*f**2 - 57*f*p + 2*f wrt f?\nAnswer: -228*p - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/((3\/(-6))\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 13*k - 9. Let t be n(-11). Let j(q) = -q**3 + 14*q**2 - 12*q - 12. Let o be j(t). Let z(l) = -3*l**2 - 3*l**2 + 4*l**2 - o. Determine z(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105279 is divided by 679?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/g**1)*g)\/g*g)\/(g\/g**(2\/5)*g))\/(g**(1\/4)*(g**6\/g)\/g*g)*(g**1*g*g**(3\/5))\/(g**6*g*g\/g**(-2\/3)) assuming g is positive.\nAnswer: g**(-131\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, -4\/119, 0.2, 5\/6, 214?\nAnswer: -4\/119","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 62.9 (b) -0.11 (c) 2\/37 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2527202383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.633607 to 3 decimal places.\nAnswer: -1.634","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1762 - 1618. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6188 divided by 1547.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6886*5\nAnswer: 34430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -913\/334, -0.45, 22, -1 in decreasing order.\nAnswer: 22, -0.45, -1, -913\/334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -66*h**2 + 95*h - 9. Let g(j) = 33*j**2 - 47*j + 4. Let k(z) = 9*g(z) + 4*i(z). What is the second derivative of k(x) wrt x?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-392)\/(-21))\/(-14))\/((-29)\/(52200\/32))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3935)\/(-6296)*128\/1400?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n. Let g(f) be the third derivative of -f**5\/30 + 4*f**4 - 30*f**2 + 2*f. Give g(m(l)).\nAnswer: -2*l**2 + 96*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 4343.658 centuries?\nAnswer: 434.3658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -1, -2, -5, 6433 in increasing order.\nAnswer: -5, -3, -2, -1, 5, 6433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 16 = -1. Calculate the greatest common divisor of 30 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 6*b - 13. Determine x(9).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u**4\/7 - 90*u**3\/7 + 148*u**2\/7 - 88*u\/7 + 16\/7 = 0 for u.\nAnswer: 1\/3, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69108613 is divided by 440182.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5491 - -8748. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -0.57 (b) 1 (c) 1\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 105*z + 38. Is a(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 25*z**2 + 3*z - 46. Let u be a(25). What is the second derivative of 5*o**3 + 39*o**3 + 0 - 8*o**3 + u*o**3 + 4*o + 2*o**2 - 11 wrt o?\nAnswer: 390*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.145368048 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 5*v + 87, -2*t - 5*v = -0*t - 81. Suppose -w + 2*w = t. Let u = -5 - -9. What is the highest common factor of u and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = m - 4. Suppose 4*b = -r - 8, 2*r - 5*b = m*r + 10. Solve -4*o = 5*z + 4, r = -3*z + 4*z for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jv when two letters picked without replacement from {j: 1, v: 2, c: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81052?\nAnswer: 2, 23, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/736 and -11\/47472.\nAnswer: 94944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 17*w**2. Let v(u) be the second derivative of -u**4\/12 - 10*u. Calculate v(s(c)).\nAnswer: -289*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l**2 - 1 + 3*l + 8*l**2 + 3 + 5*l**2. Let w be i(-2). Calculate the highest common factor of w and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**2 - 4*g**2 - 16*g**3)*(5*g - 5*g + 3*g**2) + 3*g**5 - 4*g**5 + 2*g**5.\nAnswer: -47*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1040, 2\/3, 1, -0.5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*l - 4. Let j be (4 - l\/2)*16. Suppose 0 = 12*d - j*d. Solve d = -4*z + 5 - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/71228 in 3\/7, -546, -1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1111100011101 (base 2) to base 12\nAnswer: 4739","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1309749 a multiple of 269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 941734.\nAnswer: 2, 470867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-24)\/(-15) - -2)\/((-15)\/200). Put 2, -5, y in ascending order.\nAnswer: y, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 246783815?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10366, -41541, -93500, -166243, -259770?\n\"Answer: -10392*k**2 + k + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 12. Let b be r(-9). Suppose -b*z + 330 = -8*z - h, 0 = z + h + 70. Let g = z - -95. Is g a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1649261951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 25354952, 25354962, 25354972, 25354982?\n\"Answer: 10*l + 25354942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*h**3 + 3*h**3 + 4*h**3)*(3*h - 5*h + 7*h) - 2*h**4 + 1 - 1)*(1 - 1 + 2*h + (-1 + 4 - 1)*(h - 2*h - h))*(20 - 4 + 0).\nAnswer: -576*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15844\/35 + -864121\/1540. Let c = n - -1080\/11. Find the common denominator of -54\/7 and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-36) - 6\/(-8). Let n(v) be the first derivative of 11*v**4\/4 + v**3\/3 + v**2\/2 - v - 11. Determine n(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11700191*y**3 - 2*y + 88152376?\nAnswer: -35100573*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3906 + 3945 + 30 + 0?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m + 123 = 99 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -0.114?\nAnswer: 0.086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11422091671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.239 + 3.101. Let x = y + 0.018. Let i = x - -0.12. Which is the nearest to 0.1? (a) i (b) 2 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -o**4\/12 + o**3\/3 + 21*o**2. Let u(n) be the first derivative of -5*n**2\/2 + 6*n + 83. Give -8*l(d) + 3*u(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 2*i - 2. Let m(g) = g**2 - 337*g + 2. Give l(p) + m(p).\nAnswer: 2*p**2 - 335*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/126 and -109\/84.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + q**2 - 7*q + 11. Let y be s(4). Let p = -57 + y. Let r(l) = -l**2 + 5*l + 4. Determine r(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -i**3\/3 - 2*i**2 - 9*i. Give m(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0666 - -0.066246. Round w to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16103419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44 - -49. Solve n - 2 = 0, s*x + 4*n = -0*x - 7 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*d + 1359 = 43*d for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 16, j: 2}. What is prob of picking 2 j?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 - (2\/(-1) + 1) is divided by 29.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rnrrrrrrrrrrrrrrr.\nAnswer: 15\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2211541273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 26*c**2 + 28*c + 25. Let l be f(-27). Let k be (2 + 2)\/(-2) + l - 0. What is the common denominator of -59\/24 and (62\/12 + k)\/(-6)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 36404304.73 to the nearest ten thousand.\nAnswer: 36400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 465, 892, 1341, 1818, 2329, 2880, 3477, 4126?\n\"Answer: z**3 + 5*z**2 + 405*z + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 56718.1 * 29.\nAnswer: 1644824.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 804061 + -429145. Suppose 5*i - p = 4*j + 385079, 2*j + 380005 = -5*i. Round j to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (24 - (14 + -12 + 4)) - -53.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 8:45 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 2*w + 14 = 4*m - 4*w, -8*m + 4*w = 3157 - 3189 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/10)\/((-2)\/24*-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*4*sqrt(30)*2)\/(-2*(sqrt(1000) - -2*sqrt(1000))).\nAnswer: 2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -252.92 and -12.\nAnswer: -264.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l + 4*l - 5*b, -5*b = 0. What is the remainder when l - (-11 + -3 + 0) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5281*j**3 - 494*j**2 - 7515986*j wrt j?\nAnswer: 31686*j - 988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 u when three letters picked without replacement from {b: 3, n: 2, h: 4, y: 4, u: 1, f: 1}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**3\/7 + 6886*k**2\/7 + 984*k = 0.\nAnswer: -1, 0, 3444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-520)\/200)\/(-13))\/((-8)\/330)*(-16)\/(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 432 = s. Suppose -26 = -3*b - 2. Calculate the least common multiple of s\/15 - 9\/15 and b.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**5\/5 + 1628*y**4\/5 - 13091*y**3\/5 - 4886*y**2\/5 + 36008*y\/5 + 26176\/5 = 0.\nAnswer: -1636, -1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3\/4, 3, -5, -2\/551?\nAnswer: -2\/551","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 178286 + -278286. What is b rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-204)\/(-1088)*-8)\/(36\/(-33))?\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42\/179 - 2519\/3759. Find the common denominator of 36\/11 and f.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + i = 6, -3*a - 5*i - 2 = 0. Let c = -2 - a. Solve p - 2*f = -4, -c*p + f = p + 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188296 is divided by 317.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -8*b - b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 0 + (-1270)\/(-1). Suppose -5*h = -2*o + 494, -5*o - 2*h - 2*h + q = 0. Suppose o = 3*w + 72. Does 25 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.051, 0.4, -5, 0.204?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v + v + 2*v)*(2*v + 3 - 3) + 4*v**2 - 3*v**2 + 2*v**2 + 3 + v**2 + 3*v**2 - 5*v**2 to k*v**2 + p + n*v and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -651 - -73124?\nAnswer: 72253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*l + 40847 = 40741 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4 = 4*f, 0 = 4*s + 3*f - 8*f - 26. Solve 3*a + 3 = -0*w + s*w, a = -2*w + 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*u**3 + 0*u**3 - 3*u**3 - 4*u**3 - u**3 + 4*u**3 + (-3*u + 3*u - u**2)*(-4*u + 0*u + 2*u) to the form k*u**3 + z + r*u**2 + s*u and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78 and 30?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 979 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -303 - 649 = -8*y. Suppose -4*i + y = -3*d, -2*i - 2*d = 2*d - 76. Let -13*f**2 + 2*f - i*f**4 - 5*f**2 + 18 + 48*f**3 - 18 = 0. Calculate f.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 17, 29, 39, 47, 53, 57, 59?\n\"Answer: -z**2 + 15*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000155082 to five decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24529.\nAnswer: 19, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 224779, 224781, 224783, 224785, 224787?\n\"Answer: 2*k + 224777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/329 and 29\/49.\nAnswer: 2303","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -13498 + 27006 - 13508 + 2*z - 24*z**2. Let w(q) = 12*q**2 - q. Calculate -3*j(s) - 7*w(s).\nAnswer: -12*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23343, -46588, -69833?\nAnswer: -93078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d + 9 = -24 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 15 = 2*t, -3*r - 2*t = -6*t - 21. Let m(k) = 4*k + 4 - r + 0*k + k**2. What is m(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 1477*l**2\/2 - 497*l + 1848. What is the derivative of w(j) wrt j?\nAnswer: 1477","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12130 - -1032?\nAnswer: 13222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -2*o**3\/3 - o**2\/2 - 18. Let p be 2\/(-8) - 35\/20. Give s(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2163 - 3203*y**2 + 2163 - 803*y**2.\nAnswer: -4006*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -1\/42*q**4 - 2*q - 1\/7*q**2 - 2 - 2\/21*q**3. Let u(w) be the first derivative of v(w). Let u(k) = 0. What is k?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1*(-2*sqrt(539) + -1).\nAnswer: 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(180)*-1 + 1)**2 + 0 + (6*1*(sqrt(180) + 2 - sqrt(180)))**2 + 1)*-5.\nAnswer: -1670 - 180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -297 divided by 5037.\nAnswer: -99\/1679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15689182 to the power of 1\/2, to the nearest integer?\nAnswer: 3961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**2*y + 125*p**2 - 378*p*y wrt p.\nAnswer: -2*y + 250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**2 - 63*l + 68. Calculate s(-22).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3013100202 (base 4) in base 10?\nAnswer: 816162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -3. Let m = -861\/475 - -2969\/1900. What is the closest to f in 4, m, -2\/37?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**4\/4 + 2*h**3 + h**2\/2 - 3*h + 82. Let t be -9*(1 - (-2)\/(-6)). What is k(t)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1743 - 1744. Let d = -13 + 12.8. Let k = 6 - 2. What is the nearest to 2 in k, l, d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6588 and 534.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18732.7 + -19672. What is v rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9384 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-52)\/(-414)*57\/(-38). Which is greater: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/6)*l)\/(l**(-2)\/l)*(l**(-11)\/l*l)\/l*l*l**(-10)*l assuming l is positive.\nAnswer: l**(-95\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.065 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128 = -7*y + 328 - 95 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9216470241 and 0.5.\nAnswer: 9216470241.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h + 18538 = 5*h + 6*h. What is the greatest common factor of 247 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 5*n**2 - 2*n + 3. Let l be r(-4). Let h be (1284\/18)\/(4\/12). Let m = h - 223. Sort l, 3, m.\nAnswer: m, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1181\/9 + -131. Let o = 1.1 - 0.7. Which is the second smallest value? (a) o (b) 2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**2 - 130*f - 2853. What is y(-24)?\nAnswer: 1419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -23 divided by 392\nAnswer: -23\/392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5\/12, 2\/153, 13, -1\/5?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2) + -240 + 250?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one sixth of a day?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -861\/130?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 38*t**2 - 47*t + 47. Let o be l(39). Let a = -270 - o. Sort -2\/3, 2\/29, a.\nAnswer: a, -2\/3, 2\/29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 + -2b6?\nAnswer: -2ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + b - 12. Suppose b*c - 13 = 2*c. What is the remainder when 25 is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (64 - (-7 + (16 - (13 + -12)))) + (-7 - 0)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -3\/4, -26, -1\/3, 0.3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -297*g**2 + 148*g**2 + 147*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1920 divided by -2107?\nAnswer: -1920\/2107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g - 2*g + g - 6*g. Let w(m) be the second derivative of -13*m**4\/12 - 1661*m. Calculate w(z(u)).\nAnswer: -1300*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 444633 is divided by 39.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32805.81 months to millennia.\nAnswer: 2.7338175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44725 + 4177 = 14*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (6 - 4) + (2 - -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -92*m - 5. Let p be s(-3). Let u(j) = -269 + p + 0*j - 2*j**2 + 12*j. Let b be u(5). Calculate the highest common factor of b and 216.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -813 = -627*g + 646*g - 129 for g.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 - 261600*q + 261599.\nAnswer: (q - 261599)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.52 and 9270.\nAnswer: 9269.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-348)*-3 + 0. Let p = 52\/87 + u. What is the closest to p in -0.04, -1\/4, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/120*12)\/(3*(-6)\/36).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.4 + 0.4. Let l = 5.1 - 5. Let w = l - 0. What is the nearest to 2\/7 in -5, w, m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 8 + 10)*(-1 + 1 + 3057*u - 2989*u).\nAnswer: 2516*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4680865*j**3 + 5 - 5 + 0.\nAnswer: -4680865*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1389248337?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**3 - 381*c**2 + 765*c - 383 = 0.\nAnswer: -383, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eaw when three letters picked without replacement from elledeellaelldwa?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 4445*b**4\/2 + 3723*b - 13213. Find the first derivative of g(v) wrt v.\nAnswer: 26670*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (7722\/(-15))\/((-12)\/90) - -6.\nAnswer: 3, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/(-30) - (-206)\/10. Suppose -b = 2*b + 5*v - q, -10 = -2*b - 4*v. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 498?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4698 + 3342. Let b = -2401 + l. Suppose -10*i + b = -13571. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 10, i: 4}. Give prob of sequence eiee.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -12.9811. Round v to three dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 71, 1.5, -4, 0.174, 0.4, -3\/8, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 2:47 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-2))\/(-13 - -14)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67 + 67. Solve s = -2*d + 7*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234 - 76 = -10*z. Solve 7*y - 4*y + 17 = -2*t, 5*y + 4*t + z = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 0) + 2 - (57 - 59)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 4 + 1 + 12*i.\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 2*b - 83*b**2.\nAnswer: -83*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from qgglgjlllqllljqgl.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/4109 and (-9)\/(165\/(-20) - -9)*(-6)\/(-105).\nAnswer: 20545","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c**3*p + c**3*s**3 + 28*c*p*s**3 - c*s**2 - 2*p + 10*s**3 - 24*s wrt s.\nAnswer: 6*c**3 + 168*c*p + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p**3 - 50*p**2 - 15*p - 15. Is 30 a factor of q(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, w: 4, r: 2, g: 2}. Give prob of sequence grs.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 4*l - 26, 0 = -4*j - l + 1 + 15. What is the second derivative of -10*c - 4*c + j + 16*c - 60*c**2 wrt c?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 times 0.07?\nAnswer: 21.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/2*(24 - 3050\/125)*-5. Let p(w) be the first derivative of 5*w**k - 29\/2*w**2 - 5 + 0*w. What is the second derivative of p(m) wrt m?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 539 is divided by 68.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*c + 10 - 16 + 6 to the form x + r*c and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 11:40 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -51*m + 1120. Suppose -16 = 5*z + 4*p, 2*z - 5*p - m = -z. Let k be 9\/11 - (-1 + 2). Which is the nearest to z? (a) k (b) 0 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*a - 2*a. Suppose z + 3*x = -0*z + 37, 3*z - 97 = a*x. Calculate the greatest common divisor of z and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -176068 divided by 1?\nAnswer: -176068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005962 to seven dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 681 at most -326?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -369, -3030, -10253, -24318, -47505?\n\"Answer: -380*j**3 - j**2 + 2*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 857.1 - 1045. Let q = l - -186.9. Let t = -339\/11 + 31. What is the closest to q in 3\/4, 8, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sjusujjsssuuuj. What is prob of picking 1 j, 1 s, and 2 u?\nAnswer: 200\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2 + 1 - (-2 + -9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 547675, 15 in decreasing order.\nAnswer: 547675, 15, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**3\/3 - 3*i**2 - 11*i. Let t be o(9). Let f be (-10)\/3 + t\/(-18). Sort -13, 3, f in descending order.\nAnswer: 3, f, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 212 - 123. Suppose -2*y - 15 = -c. Is y a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/3030 and -197\/69690.\nAnswer: 69690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -25080, -28061, -31042, -34023, -37004, -39985?\n\"Answer: -2981*p - 22099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -62710*x**3 + 7588*x**2 + 3.\nAnswer: -376260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110100000101000 (base 2) to base 7.\nAnswer: -140511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -0.1, 4, 53?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -3 (c) 0.408\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h - 48. Determine g(-12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-32)\/20)\/(2\/(-60)). Suppose 0*h = 3*h - i. Does 16 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a. Let t(j) be the second derivative of j**5\/120 - j**3\/6 + 3*j. Let p(c) be the second derivative of t(c). Determine p(w(x)).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fkdkfkkdwfd. What is prob of sequence fff?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w = 2*w + 2*a - 12, 2*a = 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-1)\/2)\/(13\/26)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-14))\/((-9)\/(-36))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82146.\nAnswer: 2, 3, 13691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2. Let y(w) = 26*w**2. What is p(y(k))?\nAnswer: -676*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 35*-95\nAnswer: -3325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jpljlvjtupplutju. Give prob of sequence ljv.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7\/((-28)\/8))\/(-1). Suppose -f*i = i + 12. Which is the third biggest value? (a) 0.2 (b) 0.5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11718631*s**3 - 5*s**2 - s - 318593262 wrt s.\nAnswer: -35155893*s**2 - 10*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 4115553?\nAnswer: -4115560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11970 and 64890.\nAnswer: 1232910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*(-2 - -3)*1. Suppose -2*u = -a*u - 6. Find the second derivative of -u*b - 7*b**5 + 2*b**5 + 2*b**5 - b**5 wrt b.\nAnswer: -80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1527277, 1527274, 1527269, 1527262, 1527253, 1527242, 1527229?\n\"Answer: -p**2 + 1527278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.20783221 rounded to 0 dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p - 4. Let w(q) = 2*q + 2. Let h(r) = 9*r + 6. Let f(n) = -h(n) + 5*w(n). What is -5*f(v) - 4*l(v)?\nAnswer: -v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15\/(-60))\/(9\/(-24)). Suppose 0*r = 5*r. Suppose 0 = -p - 3*f + 17, 3*p + 4*f - 21 - 5 = r. Which is greater: p or t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -16 - 10 - 4 + 27 - 12 + 3*l. Determine k(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 5*r**3 + 22*r**2 + 216*r - 26. Let j(b) = b**3 + 4*b**2 + 43*b - 5. What is -2*c(k) + 11*j(k)?\nAnswer: k**3 + 41*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 5112.\nAnswer: 5112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 13 (b) 4 (c) -1\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 15361, 0, -7 in increasing order.\nAnswer: -7, 0, 15361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11345?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a. Let u = 5 + -3. Let d(q) = q**3 + 4*q**2 - 4*q - 2. Let m(n) = u*s(n) + d(n). Suppose -2*l + 31 = -5*v, 16 + 24 = -5*v + 5*l. Determine m(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/(-28)*(-80)\/(-450).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b + 1. Let y(p) = 4*p. What is v(y(m))?\nAnswer: -8*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 5*y + 5. Let r be b(5). Suppose -5*o - z = -r*z - 33, 2*z + 30 = 4*o. What is the remainder when 15 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*t, -4*t = -p - 3*p + 1412. Let b be 1\/4 + p\/90. Let z = 313\/180 + b. What is the common denominator of z and -107\/14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -5*u**4 + 50*u**3 - 40*u**2 - 50*u + 45 = 0.\nAnswer: -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(-77748)\/(-5642) + -38 + ((-18)\/(-13))\/(-3).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-4) - (-8157)\/12 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25.708 + -31.708. Which is the closest to -1? (a) o (b) 43 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4119 divided by 2.\nAnswer: -4119\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10095790 - 35*q**2 - 5047895 + 15*q**2 - 5047895.\nAnswer: -20*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/307031033?\nAnswer: -1\/307031033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -702 in -49, -4, -26?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2448502 is divided by 34?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 206*c**2 + 268*c - 803*c + 269*c + 1037 + 264*c wrt c?\nAnswer: 412*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 73769 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bx when two letters picked without replacement from xxxxxfbzfxzcxczxxfz?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110 + 220?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85 and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -451, -909, -1371, -1837, -2307?\nAnswer: -2781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -2*d + 8, -4*d - v + 20 = d. Suppose 284 = -g + 3*l, -d*l - 449 + 1902 = -5*g. Let t = 604 + g. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1949, 1946, 1931, 1898, 1841, 1754, 1631, 1466?\nAnswer: 1253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 616632 is divided by 6630.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 9233?\nAnswer: -2769.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 224*j**3\/3 - 3. Let z(o) = -2*o. Give z(b(v)).\nAnswer: -448*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -738, -1473, -2194, -2895, -3570, -4213, -4818?\nAnswer: -5379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3586253 a multiple of 841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -0.22, -12, 3.2?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -t**7\/168 - 13*t**6\/40 - 399*t**5\/80 - 361*t**4\/48 - 32*t - 2. Factor p(u).\nAnswer: -u**2*(u + 1)*(u + 19)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2724042, -10896290, -24516704, -43585284, -68102030, -98066942, -133480020?\nAnswer: -174341264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 14*v - 13. What is the tens digit of o(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/6*56\/(-434)*1\/(-4).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p - 19. Let g(m) = 7*m + 10728. Give g(j(v)).\nAnswer: -7*v + 10595","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 429335?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**5\/7 + 174*n**4\/7 - 6060*n**3\/7 - 140164*n**2\/7 - 261462*n\/7 - 127530\/7 = 0. What is n?\nAnswer: -109, -15, -1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -7*i**2 + 71*i - 12. Let o be r(10). Let x be (15\/25)\/(1\/(-3 + o)). Let k = -1 + 1. Sort 5, k, x in descending order.\nAnswer: 5, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19615 divided by -698.\nAnswer: 19615\/698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - (-1 + (1 - 2)). Let d(j) be the second derivative of -j**4\/24 - j**3\/3 - 5*j**2\/2 + 14*j. Let l(a) be the first derivative of d(a). Calculate l(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -142733 - -0.5.\nAnswer: -142732.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 8. Let h(x) be the second derivative of x**3\/6 - 9*x**2\/2 + 1031*x. Suppose -12 = 4*k + 12. Calculate k*h(j) - 7*o(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 0*c - c)*(34*c**2 + 25*c**2 - 56*c**2 + 15)*(-3*c**2 - 4*c**2 + 5*c**2).\nAnswer: -6*c**5 - 30*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fufufffuffffff. Give prob of sequence ffuf.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2419.\nAnswer: 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75355 = 5*z + 5*q, -5*z + q + 27960 + 47431 = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-24)*y\/(y\/y**(-4))*(y**(17\/3)*y)\/(y\/y**(5\/6)))**(8\/7) assuming y is positive.\nAnswer: y**(-172\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 774?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19950 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 27*u + 26*u - 53 = 0, -4*s = -2*u - 50. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 5*g**2 - 7*g - 1. Suppose 0 = p - 0*p - 3, x + p = 7. Let k be x\/(-18) + (-336)\/(-54). What is q(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 54, 16, -10, -18, -2?\n\"Answer: n**3 - 45*n + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12170 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 + 465*y**2 - 3 + 25 to the form x*y + v + b*y**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1))**(-34)*a**10\/a**(-3) assuming a is positive.\nAnswer: a**47","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.4, -3.88, 10, 2\/101 in increasing order.\nAnswer: -3.88, 2\/101, 1.4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 33.138 (b) -6\/7 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/9 + 1150*g\/9 - 118192\/9.\nAnswer: 2*(g - 89)*(g + 664)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + 0.9. Let o = 0.4088 - 0.3088. Let k = 0.3 - 0. What is the closest to o in z, 3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z + 7 + 7*z - 8*z. Suppose 4*y - 5 = 3*y. Let h be s(y). Which is smaller: 2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140827549 a multiple of 746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2663, -10662, -23991, -42644, -66615, -95898?\n\"Answer: k**3 - 2671*k**2 + 7*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 - -27. Let n(q) = -3*q + 16. Let w be n(5). Let y be ((-6)\/27 + 0)*w\/(-2). Which is the nearest to -2\/3? (a) k (b) y (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.07, 90005, 17, 0.5 in decreasing order.\nAnswer: 90005, 17, 0.5, 0.07, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14976166?\nAnswer: 2, 251, 29833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-6818)\/1911 - 24\/504.\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7\/929 (b) 4 (c) -29 (d) -0.1 (e) 2\/17 (f) 23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.42 + -6.02. Let g = r + -468.4. Let n = 418.7 + g. Round n to zero dps.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 11. Suppose v = 3*y + k - 3, y = 2*k - 8. Suppose -95 = -y*f - f + 4*g, -3*f - 2*g = -257. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 - 20. Solve y*f - 24 = 4*t + 3*f, -f - 19 = 3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*m**4*o**3 - 2146*m**4 + 43*m**2*o - 7*m*o**3 + 3*o**2 wrt m.\nAnswer: 72*m*o**3 - 51504*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from dgdddgdg?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17.8 - -21. Let t = -1 + -2. Let r = t + c. Is -1\/5 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 41, 0, 86, -123 in descending order.\nAnswer: 86, 41, 0, -3, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3737251 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2579*x - 180146. Determine w(-70).\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -34.4 in 3\/4, -4, -1, -0.03?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**1)**(-3\/2) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 988676876 + 0?\nAnswer: 988676876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/4278 and 61\/2484.\nAnswer: 77004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -9*s - 17. Let l(t) = 36*t**2 - 16*t + 47. Let g(v) = 13*v**2 - 5*v + 15. Let x(k) = s*l(k) + 11*g(k). Give x(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 16*q**2 - 14*q + 19. What is the units digit of k(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-1\/2)*u*u*u)*u*u\/u**(-12))\/(u*u*u**(-1\/19))**(9\/4) assuming u is positive.\nAnswer: u**(617\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o*w**2 + 1135*o*w + 42773*w**3 - w + 8 wrt w.\nAnswer: 4*o + 256638*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -129\/3910 and -24\/25.\nAnswer: 19550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -2. Suppose -n = i + w*n - 11, n = -3*i. Which is greater: i or -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 8*h - 12. Let q be u(-10). Let k be ((q\/(-12) - 0) + -2)*3. Put 5, k, 3 in descending order.\nAnswer: 5, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414720 = 7272*w + 408*w for w.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -292 + 293. Let b = -0.4 + -1. Let i = b - -0.4. What is the nearest to i in q, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37\/69 less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 j when two letters picked without replacement from {q: 4, x: 6, n: 2, p: 1, j: 2}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3651 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 21*a**2 + 18*a - 38. Let u be n(-20). Let y(k) = 7*k**2 - 6. Let f be y(u). Let m = 6 + -4. Solve g + 29 = 5*p, 0*p = m*p - 3*g - f for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 2*w + 1. Suppose -1 = -2*d - 5. What is the units digit of y(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 56816\/7 or 8116?\nAnswer: 56816\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 + 19*q + 44. Determine r(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -31*b**2 + b - 21. Let x(p) = -14*p**2 + p - 9. Let z(q) = 3*d(q) - 7*x(q). Let c(m) = -m**2 + m + 1. Give -4*c(i) - z(i).\nAnswer: -i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 236915 a multiple of 245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g**3 - g**2 + 1190*g - 16226 wrt g.\nAnswer: -6*g**2 - 2*g + 1190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/215860 and -53\/1640536.\nAnswer: 8202680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -23, -107, -247, -443, -695, -1003, -1367?\n\"Answer: -28*f**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 1. Let q be m(2). Let h(d) = d**2 + 7*d + 12. Let t be h(q). Is t*(-53)\/(-2)*5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 387012*a + 387010. Calculate s(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 8*b - 57. Calculate the remainder when 34 is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 123498.6.\nAnswer: -123499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - 1 - ((-121 - -77) + 55) - 84.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -524 - -524. Solve t = 2*c - 18 + 14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (0 - (17 - 1))) + -8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2817902.\nAnswer: 2, 233, 6047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.071 times -2\nAnswer: 0.142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/(140\/(-75))*(-4)\/(-6). Suppose 5*f = 2 + 8, -2*f - 16 = -d*b. Is 17 a factor of ((-642)\/8)\/(b*6\/(-96))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2*q - 8 + 45, -4*h + 5*q = -11. Suppose 0 = -2*k - 3*l + 3, 0 = -l - 4*l - 5. Sort k, -13, h in ascending order.\nAnswer: -13, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + ((sqrt(245) + 1)**2 + sqrt(245) + sqrt(245) - sqrt(245))*2 + (1 + sqrt(245) + 1)**2 + -5)*-6.\nAnswer: -13230 - 1260*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -39 (c) 3 (d) -0.3 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 4 = -3*y, 91*u - 90*u = 4*y - 18 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19125718 is divided by 43666.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 0 + (0 + 10)*4. Let v = 36 - q. Let x(b) = -b**3 - 5*b**2 + 6*b + 3. What is x(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5590\/21 and -266 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 877 + -953.9. Let j = f - -157.4. Round j to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 109\/79 + -7054\/2765. Calculate the common denominator of 12\/77 and i.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -7. Let i be (p\/5)\/((-6)\/(-30)). Factor 2\/3*c**i - 2\/9*c**2 - 4\/9*c + 0.\nAnswer: 2*c*(c - 1)*(3*c + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021002 (base 4) in base 16?\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -19*m - 171. Let x(b) = 108*b + 856. Determine 11*p(o) + 2*x(o).\nAnswer: 7*o - 169","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 71808 and 59728.\nAnswer: 268059264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -753976 - -534530. Let y = c - -219357.941. Let n = 88 + y. Round n to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 3:24 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 390 and 4497645?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 19, 4, 5, 34, 103, 224?\nAnswer: 409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.05 - -9.79. Let d = u + -551.84. Let a = d - -540.0000289. Round a to 6 decimal places.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 8*f + 7. Calculate j(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 5. Let x = 0.53 + -0.13. Which is the third biggest value? (a) x (b) g (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 9 = -6. Suppose 6 = -c + g*c. Suppose -18 = 2*q - 8*q. Solve 0 = -c*x - 9 - q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, p: 1, r: 1, u: 3, c: 3, a: 2}. Give prob of sequence cc.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 80289, 80986, 81685, 82386?\n\"Answer: n**2 + 694*n + 79594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -610041 divided by -3\nAnswer: 203347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4494117361 to the nearest integer?\nAnswer: 1650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239388 is divided by 32120?\nAnswer: 14548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*m + x + 2, -2*m - 4*x = -20. Suppose m*v - 2*v - 3*h - 14 = 0, 4*v - 2*h - 12 = 0. Is v less than or equal to 6\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s**2 - 13*s + 8. Let f be l(4). Solve -c + 7 = f for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 952, 1894, 2826, 3742, 4636, 5502?\n\"Answer: -h**3 + h**2 + 946*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-25)*63\/36)\/((-15)\/50)?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.29752 rounded to 3 decimal places?\nAnswer: -1.298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (4 - 1)\/(-1). Suppose 0 = -5*i - 12 + 27. Solve q*w + i*w = 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 144?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -137 - -451. What is the remainder when b is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1365*r**5 - 6*r - 15.\nAnswer: 27300*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 2*w - 9, -4*v - 2*w - 14584 = -14602 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + o**2 - 3*o**2)*((1 - 1 - 2)*(-o**2 - 2*o**2 + o**2) + o - o + o**2 + 1214*o**2 - 1006*o**2 - 888*o**2).\nAnswer: 675*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iaa when three letters picked without replacement from {r: 4, a: 3, i: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28248 and 2?\nAnswer: 28248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 431889?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 7:58 PM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12957 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-7\/3))\/y**(-1\/19) assuming y is positive.\nAnswer: y**(193\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -4\/5. What is the second biggest value in g, -3, -2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13356 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2090304948.\nAnswer: 2, 3, 53, 3286643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((20808\/255)\/(-102))\/(1\/(150\/28))?\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 2*f)*(163 - 119 - 94)*(2*f - 6*f**2 - 2*f + (2*f**2 + 0 + 0)*(1 + 0 - 2)) to s*f**2 + v + c*f**3 + r*f and give c.\nAnswer: 800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 10 = 8*f - 3*f, -5*a - 4 = 4*f. Let z = f - -11. Calculate the greatest common factor of z and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3520258948 to the power of 1\/2, to the nearest integer?\nAnswer: 59332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -789*m + 20. Let x be u(2). Let y = -988 - x. List the prime factors of y.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2047*n**2. Let b(w) = 3*w. Calculate j(b(k)).\nAnswer: 18423*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w - 13. Let z be y(-13). Let l(t) be the second derivative of -t**4\/12 + 5*t**3\/6 - 2*t. Let q be l(4). Put 1, q, z in descending order.\nAnswer: q, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-272)\/(-32)*(0 + 1 - -1) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -197*s**2 + 92*s**2 - 44 + 74*s**2 + 11 to u*s**2 + x*s + i and give i.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -41758 divided by -3?\nAnswer: 41758\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -8631*g - 120857. What is r(-14)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1149068 divided by 1149068?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-14)\/(-7)*60 - 6 is divided by 32.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 16\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 458607 and 531.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, l: 4}. What is prob of picking 3 e and 1 l?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3171033 to the power of 1\/2, to the nearest integer?\nAnswer: 1781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -203 and 1.77?\nAnswer: -359.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 18662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 10*w**2 - 9*w + 5. Let t be z(-9). Suppose t*i = 4*r - 13 - 3, -i - 4*r = -16. Solve -4*u - u - 15 = i for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -575934*m**2 + 5*m + 919111?\nAnswer: -1151868*m + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66375 = 4605895*m - 4604770*m for m.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 128747 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1100) - (sqrt(1100) + sqrt(1100) + (sqrt(1100) - sqrt(1100)*1) + 3 + sqrt(1100))**2.\nAnswer: -9909 - 170*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z. Let s(a) = -a. Let m(k) = 3*s(k) - 2*y(k). Let f(h) = h. Let t(c) = 7*f(c) - 6*m(c). Let j(u) = 3*u**2 - 4*u**2 + 0*u**2. What is t(j(x))?\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2939550 divided by 587910.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8.4, 3, 1\/5, -99, -0.5, 0, 9?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 699, 590, 385, 66, -385, -986, -1755, -2710?\nAnswer: -3869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8491 - -13491. Round z to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -960*c**5*g - 6*c**5 - 2164*c**2*g wrt c.\nAnswer: -57600*c**2*g - 360*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m. Let q be (16\/(-80) - 119\/(-70))\/(2\/(-12)). Determine j(q).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5122, -4446, -3770, -3094, -2418?\n\"Answer: 676*m - 5798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a + a**2 - 5*a - 7*a + 17*a.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.6, -1.89, 3\/8, 0.3, -3\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.23602453 rounded to 1 dp?\nAnswer: 55.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(6)*-1*-5 - (sqrt(6) + (sqrt(726) - (sqrt(726) - (sqrt(726) + sqrt(726)*-1)))))\/(sqrt(36)\/(sqrt(84)\/(sqrt(56)\/sqrt(8)))).\nAnswer: -4 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9932, 7920, 4.\nAnswer: -9932, 4, 7920","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/8))**(-19)*c*c*((c**(2\/5)*c)\/c)\/c*c*c**(-1\/25) assuming c is positive.\nAnswer: c**(947\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-17360)\/980*21\/(-30)*2. Is b at most 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3887 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 887459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**2 - u**2 + 0*u**2 + (u**2 + 1 - 1)*(-2 + 2 + 2) to the form q + l*u + h*u**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68 - -67) + 62 + 7 + 2 + -4.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -12. Let q be (2\/3)\/(i\/(-42)). Let n(f) = f**2. Let l(r) = -16. Let k(d) = q*n(d) + l(d). Differentiate k(h) wrt h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = l + 2. Suppose 0*q - l*q + 15 = 0. Suppose 9 = -q*r, -r - 31 = -s + 14. What is the remainder when s is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 263 or 37.6?\nAnswer: 37.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 266649*r + 254165?\nAnswer: 266649","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6*p - 15. Suppose -5*v = -15, -19 = -3*j - v + 2. Calculate the lowest common multiple of 13 and m(j).\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c + 45. Calculate r(-19).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 7128*o + 1980. Let b(a) = 269*a + 75. Let d(q) = -132*b(q) + 5*j(q). Let c(u) = -u**2. Give c(d(n)).\nAnswer: -17424*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 6*z**2 + 4. Suppose -3*g + 2 = -7. Let w(c) = -5*c**2 - g - 3 + 3. Let j(i) = 3*a(i) + 4*w(i). Let o(y) = -6*y. What is o(j(p))?\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222721 - 95 = 155*b - 81329. What are the prime factors of b?\nAnswer: 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -10 - 29*u**2 + 13*u**2 + 5*u + 17*u**2. Let r(y) be the first derivative of -5*y**2\/2 - 11*y + 1. Give -9*g(o) - 4*r(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3495, 3813, 4401, 5259, 6387, 7785, 9453?\nAnswer: 11391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1659 and 663231702.\nAnswer: 1659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*((-1)\/(-4))\/((-8645)\/(-1976)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -71 + 23. Suppose j - s + 2 = 0. Suppose g + j = -5*v, v + 9 = g - 1. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10569*q - 28 - 10577*q + 26.\nAnswer: -8*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 - 11*b - 21. Let p be g(9). What is the greatest common factor of p and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17\/4 or 0.363?\nAnswer: 0.363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**5\/11 - 40231*r**4\/11 + 40234*r**3\/11 + 80464*r**2\/11 = 0. Calculate r.\nAnswer: -40232, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2\/2 - 9*d\/2 + 81.\nAnswer: -3*(d - 6)*(d + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -20420 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110 + 101011010111101?\nAnswer: 101011011011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -12*l**2 - 5*l. Let h(v) be the first derivative of v**3\/3 - 1097. Calculate s(h(u)).\nAnswer: -12*u**4 - 5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-16))\/(69\/228). Let h = p + 2\/23. Find r, given that -1\/2*r**2 - h*r**3 + 0 + 1\/2*r + 1\/2*r**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/3 and -79\/240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 times -0.0123\nAnswer: -0.00984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/(-3) + 1)*-6. Does 8 divide (-105)\/(-6) - q\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/5, -0.041, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 4, -7, -3 in decreasing order.\nAnswer: 5, 4, -2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0.3, 8, -0.5 in increasing order.\nAnswer: -0.5, 0.1, 0.3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 92\/105 and 138\/322 - (2 - 58\/63)?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 35*u + 4685. What is t(112)?\nAnswer: -3939","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 7647?\nAnswer: -7646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 48574139957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**9*w)\/(w*w\/((w**(-7\/8)*w)\/w))*w\/(w\/(w\/w**(2\/53)))*w*(w**29*w)\/w assuming w is positive.\nAnswer: w**(16573\/424)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 230, 237, 260, 305, 378, 485, 632, 825?\nAnswer: 1070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -1 - ((-6 - 2) + 6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.621777 to 2 dps.\nAnswer: 15.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*z**2 + 36*z**3 + 35*z**2 + (-4*z + 5*z - 3*z)*(2*z**2 - z**2 + z**2))*(0 - 5 + 3).\nAnswer: -64*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**4 - 972*o**3 - 8528*o**2 - 24432*o - 22464 = 0 for o.\nAnswer: -234, -4, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - 17. Let x = 3 - 2.6. Let l = 0.6 + -0.8. Which is the second smallest value? (a) x (b) l (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8079 + -5479. What is o rounded to the nearest 100?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - i = 7. Let g = 3 - i. Let o be (-11999992)\/(-20) + 4\/g. Round o to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (25\/(-4))\/((-12)\/(-48)). Let o = h + 105. Suppose 7*k - 2*k - o = -4*a, -2*a = -4*k - 40. What is the smallest common multiple of a and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19579204 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 + -20020220?\nAnswer: -20020133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4 - 4*z + 1 + 3 - 4. Let g be a(-4). Let j(m) = 2*m - 3. Let h be j(3). Solve g = h*q + q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**3 - 38*m**2 - 18. Let q(o) = o**3 + 25*o**2 + 12. Calculate 5*p(f) + 8*q(f).\nAnswer: -2*f**3 + 10*f**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*c + 2053888 = -52329300, s - 13595794 = c. Suppose s = t - 0*t. Let h = t + -4895796. Round h to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + -4. Let h = 28 - 14. Let j = -14.2 + h. Which is the second smallest value? (a) j (b) x (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 69*f + 1. What are the prime factors of b(1)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 617016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*b**3*q - b**3 + b**2*q + 3*b - 678*q wrt b.\nAnswer: -72*b*q - 6*b + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6789175.\nAnswer: 5, 19, 14293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 27951.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (130 - 130 + 8*y**2)*(100*y - 210*y + 107*y + 36*y**2).\nAnswer: 288*y**4 - 24*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 90 - 54. Suppose 2*i + s = 2*u, -4*u + 79 = 5*i - 2. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*i**3 - 9*i**3 + 6*i**3 + 2*i**2 + 2*i**3 - 2*i**2 + 0 + 0 + 4*i**3 + (-2*i - i + 0*i)*(-2*i**2 + 4 - 4) to d*i + c*i**2 + r + z*i**3 and give z.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f - 49. Calculate q(45).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 2*h, 0 = t + t + 5*h - 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2121010 + 22100?\nAnswer: -2032310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56 - 49. Suppose 19*i = 17*i. Solve -3*c - 16 + z = i for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1104000 rounded to the nearest ten thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4206 divided by 6.\nAnswer: -701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 270 divide 896907600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -269 - -271. Are -84 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3*h - 10, 0 = -2*h + 4*a - a + 18. Suppose -r = h + 2. Let x be (-6319998)\/r + (-4)\/(-16). Round x to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 + 3*m. Let b be u(-2). Suppose 5*j = b*j + 72. Is 4*3\/j*22 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214*q + 14850 = 216*q + 3*g, 0 = 3*q + 5*g - 22274. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 449861 and 3867?\nAnswer: 1349583","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 616266516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -18) + 1 + 5 + -1?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*(75\/20)\/(6\/4). Suppose 0 = d*w - 139 - 341. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-814)\/(-198) + -7)*(11 - 2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87, -102, -131, -180, -255, -362?\nAnswer: -507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 9:30 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2\/23)*z**(1\/19))\/(((z*z**(4\/5))\/z)\/z)**(1\/9) assuming z is positive.\nAnswer: z**(19427\/19665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 2786388.2 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 5:25 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 x when two letters picked without replacement from mxmbppmmbpmmmxbbmpp.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 85*i. Let j(a) = a**2. Calculate j(f(u)).\nAnswer: 7225*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n + 61*h - 58*h - 3, 2*n + 6 = 2*h for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + i. Let u(h) = 48 - h**2 + 6*h**2 - 52 - 2*h. Let a be (-4)\/4*3 - 0. Determine a*w(p) - u(p).\nAnswer: -2*p**2 - p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + -3 + (3 - 4 - 0) + (16 - 7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -644*m**3*x + 3467*m**3 + 974*m**2 + 11*m*x + 20*m - 2 wrt m.\nAnswer: -3864*x + 20802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*l**2 - 2*l**3 - 20*l**2 + 34*l**2 - 75*l**2.\nAnswer: -2*l**3 - 71*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(0 + -1) + 0. Let d = 166238 - 664955\/4. What is the fourth biggest value in d, j, 9\/7, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-22)\/(-33) - 92\/(-6) and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.23 + -0.03. Let d be 1 + -2 + 7\/5. Let o = -1\/5 + 22\/35. Which is the nearest to r? (a) -0.5 (b) o (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -7*m + 38. Is m > 17\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.00000104 + -5. Round t to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from unuuuuuuuuuunuuuuuu. Give prob of sequence un.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 776 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -p - 11253, -59*l - p + 2807 = -58*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 y, and 2 s when four letters picked without replacement from {l: 3, v: 1, y: 5, s: 7}?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.827 - 0.173. Let t = 0.012 + 13.488. Let q = -13 + t. Which is the closest to q? (a) -5 (b) -0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*2\/15*9. Let n(p) = 2*p**2 + 8*p - 8. What is the hundreds digit of n(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -0*f + 6*f. Solve 2*n - 12 + 4 = f for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 753, 348, -57?\nAnswer: -462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xooexxkxxcheoxc. Give prob of sequence cco.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 14*p + 49. Let a(b) = 30*b + 98. Determine -3*a(z) + 7*t(z).\nAnswer: 8*z + 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/90*-9*9\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15.491? (a) -0.7 (b) 2\/11 (c) 0.4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 1, 2776, 3, 0.\nAnswer: -3, 0, 1, 3, 5, 2776","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-205)\/7 - 6\/(-21). Let a = z - -21. Is (30\/a)\/((-10)\/200) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 544693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) 3 (c) 36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*q + 1887 = 1197 for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 2*i**2 - i - 2. Let k be s(3). Solve -2*u + 0*u = -3*t - 5, 5 = -t + k*u for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 185 + -206. Let z be w\/105 - 22\/(-10). Solve -i + 11 = -2*y + z, -y + 4*i = 1 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 + 102 = -6*y. Let m = y - -1. Let s be (-6)\/(-1*(-6)\/(-4)). Solve 6*r - s*v + 25 = 3*r, 4*r + v + 8 = m for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2900659398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 114 + -96. Suppose -27*u + 25*u + z = 0. Suppose 236483 = u*m + 50183. Round m to the nearest 1000.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -310839890 greater than or equal to -310839891?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 9, w: 5}. Give prob of picking 3 i and 1 w.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/13 and -50\/39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 79*t**2 + 124*t - 3569. Determine i(78).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0045089 rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n**2 - 4 + 6 - 2*n**3 - n**2 - 2*n**2 as z*n**3 + l + f*n + k*n**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -435*n + 14476. What is m(33)?\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11421 + 0?\nAnswer: -11421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 1064 and 1064 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, c: 1, y: 2, a: 9, t: 3}. Give prob of sequence oyoy.\nAnswer: 1\/14280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*i + 150*i = r - 6795, 0 = 3*r + 4*i - 20480. List the prime factors of r.\nAnswer: 2, 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 14 = q + 46, -b - 12 = 3*q. Let y be 3\/b - (-42)\/8. Suppose 115 = 5*c - y. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4\/4 + 3*m**3\/4 - m**2.\nAnswer: m**2*(m - 1)*(m + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**4*l\/l**(1\/8)*(l\/(l*l\/(l*l**5*l*l)))\/l**8 assuming l is positive.\nAnswer: l**(31\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3016*d. Let s(r) = r + 19. What is y(s(z))?\nAnswer: -3016*z - 57304","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 15 - 10. Suppose -v = 5*z - 15. Solve z*w + 6 = -4*o, 3*o - 3 = -5*w + w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 457806 and 20471.\nAnswer: 5035866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 - 5*y - 2. Let l(r) = -r**2 + 5*r + 1. Let f(t) = -2*k(t) - 3*l(t). Let j be f(-4). Suppose 240 = j*b + 75. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-3.3.\nAnswer: 0.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l + 11. Let a be s(-3). Suppose 2*u - 25 = -a*q - 5, 5*u - 25 = 0. Solve c = -q*c + 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 l when three letters picked without replacement from pplhpphl.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -17.8. What is the second smallest value in h, -0.4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 506658631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1166635964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -399*y + 1020. Give v(-3).\nAnswer: 2217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 6*q**2 - 7*q**2 + 1 + 2*q + 3*q**2. Suppose 0 = 3*l - 4 - 5. Let h(n) = -n**2 - n. Give l*h(k) + 2*v(k).\nAnswer: k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 11:40 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*x - 204 = -101*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 10 + 10. What is the remainder when j is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a milligram in micrograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 11. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3736877\/1518 + -27084\/11. Find the common denominator of ((-5)\/(-192))\/(1\/608*-8) and z.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (282\/54 - 5) + (-94)\/(-90) + -1?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 122.2 in 2, 15, -2, -0.17?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v + 12 = 5*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1101545424 + -5?\nAnswer: 1101545415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 24 + -9 - 12 - (-2 + -1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -1 + -2 + 10?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, 1, 52.\nAnswer: -0.09, 1, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 60 = 11. What is the second derivative of g + 26 - 10 - 6*t**3 + 14*t**4 + 0*t**3 + 2*t**3 + 2*t wrt t?\nAnswer: 168*t**2 - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/15 (b) 189 (c) 0.4 (d) 2\/13 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -3 - -3) + 1 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 6*m**2 + 5*m + 2. Suppose -3*s + 3*l = -3 - 15, -l - 11 = -2*s. Let c be p(s). Solve -c*j - 1 = -3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66083.33 rounded to the nearest one thousand?\nAnswer: -66000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 k, 1 q, and 1 a when four letters picked without replacement from aqssskvakak?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 7, n: 11, w: 1}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -204240 (base 6) to base 14\nAnswer: -6036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -14, 3, 2 in descending order.\nAnswer: 15, 3, 2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35682 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11979 - -11979. What is the third smallest value in f, 0.4, -4, -0.1, -248?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 11 = 5*t. Let d = -61 - -55. What is the remainder when ((-168)\/(-35))\/(d\/(-80)) is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 387 - 385. Let u(d) = 4*d**2 - 21*d**2 + 15*d**2 + 3*d**b. Let m(t) = -3*t**2 + 2. Let l(k) = 5*k**2 - 5. Let p(s) = -2*l(s) - 5*m(s). What is p(u(c))?\nAnswer: 5*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 20 = -4*f. Let a = f - 3. Let i(q) = 7*q**2 + 3*q + 2. Let j be i(-2). Solve -a*w = s, 0 = -3*w - w + 4*s + j for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -4 (c) 1146\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 + -12. Let v be (20\/f)\/(-5) - 256\/(-14). Let a(p) = p**2 - 8*p - 28. What are the prime factors of a(v)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 7) to base 11\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 91591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4887.8554 and 0.468558.\nAnswer: -4887.386842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 116366493?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 10:25 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -2*d - 0*b + 30, 4*d - 2*b = 76. Let h be d*2*(-4)\/(-12). What is the units digit of 452\/h - 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**4 - 1156*x**3 - 1122*x**2 + 18424*x - 23080 = 0.\nAnswer: -577, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*t - 8, t = 6*t + 3*w - 22. Find the common denominator of (t + 0)\/(-1) - 375\/330 and (-6)\/21 - (-6)\/(-28).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of f**4\/2 - 268*f**3\/3 + 524*f**2 - 1040*f + 1367. Determine s, given that r(s) = 0.\nAnswer: 2, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 550495693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17288 is divided by 184?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -1196*j + 92984. What is y(78)?\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198*r - 68 = -215*r. Let h = -131 - -136. Put h, r, 1 in decreasing order.\nAnswer: h, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away -555488539?\nAnswer: 555488538.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or 63461830?\nAnswer: 63461830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 26 = -58. Let c be (-28)\/o*48\/(-2). Let d = c - -61. Round d to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/125400 and 29\/1100?\nAnswer: 125400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27464514 to the power of 1\/2, to the nearest integer?\nAnswer: 5241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence db when two letters picked without replacement from dddbddddddddbdbddddd.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 10) to base 14\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7190772 + 5?\nAnswer: -7190768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 49*f. Let r(z) = 11490*z - 3*z**2 - 11490*z. What is r(b(l))?\nAnswer: -7203*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -w**5\/60 - 7*w**4\/24 - w**3\/6 + w**2 + 112. Let b be (-8)\/6*(-9)\/(-2). Give k(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48*f + 528*f**4 - 15*f**2 - 16*f - 24*f + 667*f**4 wrt f.\nAnswer: 28680*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -4*a - 9. Let z(d) = -8*d - 2. Let o be z(-3). Suppose 2*f - 5*g - o = 0, 2*g - 14 = -2*f + 3*g. What is the remainder when a is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 21\/(-9) - -3 - (-26)\/6. Let j be 6*(-1)\/(-15)*o. Suppose 2*z - f = -0*f - 5, -5*z - j*f = -10. Is z at least 76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 + 2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -102.8 + 103. What is the third biggest value in 1, 3, v, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 334\/21 - 56110\/3549. What is the fourth biggest value in x, 5, 0, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(1 + 42\/(-10) + 3). What is the closest to -0.2 in -1, l, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1684083509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 100321*n + 2106694. What is l(-21)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 9. Let u = w + 0. Suppose -u*s = -16 + 4. Solve 25 = -s*v + v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 804*g**2 + 62003*g wrt g?\nAnswer: 1608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*((5 + sqrt(147) + 1 + sqrt(147))**2 - (-3 + sqrt(147)*3 + sqrt(147))**2).\nAnswer: -1740 + 336*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of 1\/24*u**4 - 1\/30*u**5 + 1\/2*u**3 + 2*u**2 + 0 + 0*u. What is g in b(g) = 0?\nAnswer: -1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 5*j + 20 + 8, -5*j - n = 18 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 336994310 - 21905231652\/65. Let p = -9253 - x. Find the common denominator of p and 113\/130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60 - 39. Suppose 3*g - d = 3*z, -4 + 0 = 2*g + 4*z. Solve -g*k = k - 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*g**5 - g**5 + 4*g**5 + (15 - 4*g**5 - 15)*(3 - 13 + 4).\nAnswer: 21*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -16*y + 12. Let o be q(7). Suppose 2*k + k = 498. Let f = k + o. Is 17 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 5*o + 7. Suppose w = 3*b + 5, -5*w + 97 = 4*b - b. Suppose -13*m + 16 = -w*m. Let z be m*1\/(-6)*-9. Calculate h(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 16 = -6*n. Solve -y - 4*s - 14 = 4, 0 = -n*y - 5*s - 17 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1937, -1936, -1935?\n\"Answer: r - 1938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p + 112 = -17*p. Suppose -5*m = -19*m + p. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/8 - 33*w**2\/2 + 12091*w\/8 + 6111\/4.\nAnswer: -(w - 63)*(w + 1)*(w + 194)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 78 - 0\/(-3) - -3. Is 81 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -1.0000054. Let r = 0 + l. Round r to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 15.5. What is the second smallest value in -2, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1212 (base 4) to base 10.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9676230?\nAnswer: 2, 3, 5, 17, 18973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x + 5. Let u be l(2). Let c be 20\/4*(u - 2). Suppose -c*y + 4*d + 463 = 0, -99 = -2*y + 2*d + 87. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-40)*l)\/l)**7 assuming l is positive.\nAnswer: l**(-280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*j - j - 12, -j + 9 = -2*i. Let x be (i - 21\/(-6))\/(8\/(-16)). Let l = -2\/157 + 233\/5966. Which is bigger: x or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 268, -6 in decreasing order.\nAnswer: 268, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43885 = 66*s - 71*s. Suppose 26*p = s + 29131. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 11*o + 4. Let b be k(-5). Let q = 37 + b. Suppose 6*f = 7*f - q. What is the greatest common divisor of f and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150 + 0*f**2 - 175 - f**2 + 325.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11069373 to the power of 1\/3, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*o + 295 = -35*o - 389 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - 2075\/10)*96\/(-8) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4*c**2 + 3*c + 3. Let d be b(-3). Suppose -n + 20 = -g, 12*g + 44 = 8*g - 5*n. Let u = d + g. Does 3 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 8*o**2 + 3*o. Let f(v) = 2*v**3 - 15*v**2 + 5*v - 1. Let y(r) = -4*f(r) + 7*p(r). Calculate y(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1413 (base 6) in base 2?\nAnswer: 101110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*z - 23 + 47 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 965.0864 grams in kilograms?\nAnswer: 0.9650864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*v, 2*v + 9 = 2*g - 7. Sort -3, g, -13 in ascending order.\nAnswer: -13, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a = 971 + 499. What are the prime factors of a?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (79 + 4*i - 160 + 76)*(3*i**2 + 0*i - i**2 - 2*i) in the form v*i + w + s*i**3 + a*i**2 and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009238 to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(42)\/sqrt(6) - sqrt(7))*-4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 12:47 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*p + 3*y, -4 = p + 5*y + 3. Suppose -5*x + 23 - p = 0. Suppose 4*m = 4*s, -s + x = -0. What is the lowest common multiple of m and 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 403*q**3 + q**2 + q + 1. Let i be w(-1). Let x = -6437\/16 - i. Let h(t) = -t + 10. Let m be h(10). Are x and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**5 + 21*w**4\/4 - 219*w**3\/4 - 74*w**2 - 15*w = 0.\nAnswer: -10, -1, -1\/4, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8400*y**4 - 4*y**3 + 24*y**2 + 132*y?\nAnswer: 201600*y - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 551 divide 71058062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n**2 - 8. Let g(y) = 5*y**2 + 3*y + 2. Let i(v) = v**2 + v - 1. Let s(u) = g(u) - 3*i(u). Let o(r) = 5*l(r) + 8*s(r). Let j(a) = a. Give j(o(p)).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 44*g - 117. What is the smallest common multiple of x(49) and 10?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*p**2 + 81*p**2 + 64*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2988288 and 653688?\nAnswer: 20918016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -284 * 146.\nAnswer: -41464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 equal to 2177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**2\/2 + 123*j\/2 - 3348 = 0. Calculate j.\nAnswer: -72, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**3\/2 + 13*c**2 + 41*c\/2 - 31 = 0.\nAnswer: -2, 1, 31\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llll. Give prob of picking 3 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 237 + 109 = -24*o for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**5\/3 + 346*c**4\/3 - 347*c**3\/3 = 0?\nAnswer: -347, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 0.2, 2, 6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -927*v**2 - 584*v**2 + 217*v**2 + (0*v - v + 3*v)*(2*v - 7*v + 3*v) + v**2 + v - v to the form y*v + x*v**2 + w and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (401 + 287 - 154)*(2*j - 6*j + 3*j)*(2 + 1 + 3*j**2 - j**2) to the form o*j**2 + i*j**3 + p*j + z and give p.\nAnswer: -1602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -17. What is the biggest value in -2, -1\/2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 10 = 3*d - 2, 2*d = 2*s. Let z(t) = -2*t**d + 1 + 944*t - 944*t. Give z(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 895 = -3*j, -2*j - 462 - 209 = 3*s. Is -1*s\/(4 + -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -25*t**2 - 197*t + 8. What is r(-5)?\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12577 + 12577. Solve x = -5*z + 24 - 9, 4*l - 2*z = 14 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -7*q - 12. Let j(a) = 4*a + 6. Suppose -9*v - 24*v - 165 = 0. Give v*j(b) - 3*u(b).\nAnswer: b + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72740 is divided by 7944.\nAnswer: 1244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-112443 + 67*u**2 - 63*u + 112443)*(-2*u + 2 - 2).\nAnswer: -134*u**3 + 126*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -37378.1 - 0.2\nAnswer: -37378.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-608)\/(-6)*(-21)\/(-4). Let i = -378 + j. Let h = i - -37. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64492?\nAnswer: 2, 23, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -6*c**2 + c - 25. Let w(b) = -b**2 - 5. Suppose 0 = -2*o - 0*o + 4. Let s(t) = o*d(t) - 11*w(t). Determine s(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -167904, -169350, -170796?\nAnswer: -172242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/4*9\/6. Let u(p) = -p**2 + 4*p. Let n be u(3). Let r be ((-15)\/25)\/(n\/2). Which is the second biggest value? (a) q (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112, -143, -174?\nAnswer: -205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2. Let f(l) = -5*l + 50. Give 2*f(h) + 50*w(h).\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28483 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -15, 1, 3.\nAnswer: -15, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 8*a - 141. Let z be f(18). Sort -2, -0.2, 5, z in increasing order.\nAnswer: -2, -0.2, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 323 (b) -4 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 (base 10) in base 16?\nAnswer: 5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0792 * 0.016.\nAnswer: -0.0012672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1949 = -3*d - 5*i, 548 = 4*d - 5*i - 2109. List the prime factors of d.\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5\/(-9))\/(-19*(-140)\/3192). What is the smallest value in -0.03, -0.29, a, 3\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 321130301332 + -21?\nAnswer: 321130301311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.947 - -0.94146. What is h rounded to four decimal places?\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/9)\/2 - 46\/(-30)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 + 3 + (5 - 4). Let r(k) = 9*k**3 - 6*k**2 + 6. Let s(f) = f**3 - f**2 + 1. Give n*r(m) + 6*s(m).\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 505 * 872\nAnswer: 440360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -115.1284 and 0.09.\nAnswer: -115.0384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(33) + (sqrt(2112) - (sqrt(2112) - -4*sqrt(2112) - sqrt(2112)))))\/((sqrt(9) - ((sqrt(729) - 2*sqrt(729)) + sqrt(729)))\/sqrt(3))*3.\nAnswer: 276*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1*sqrt(192)*3)\/((sqrt(324) - sqrt(324)*-2) + sqrt(4) - (sqrt(36)\/sqrt(3))\/sqrt(3)).\nAnswer: 4*sqrt(3)\/9 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/8784 and -127\/2233824?\nAnswer: 408789792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 8229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + k - 4*j + 5, 2*j + 2 = 2*k. Let m(q) = -3*q**2 + 6 + 2*q**k - 5 - q**3 + 2*q. Let r be -2*(1 - 10\/4). Calculate m(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88111 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140 and 20552.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 - 30) + (-14 - -17) + (1 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1555200390?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -c**5\/60 - 43*c**2 + 101. Let l(y) be the second derivative of m(y). Let t(u) = 159*u. Give l(t(s)).\nAnswer: -25281*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 22 and 11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 129.8319 years?\nAnswer: 0.1298319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1571916 and 348?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 1bc439c7?\nAnswer: -1bc439ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d + 26. Let k be h(-6). Let w be (-24)\/44 - 768\/(-924). Which is the closest to w? (a) 0.4 (b) k (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5399 + -16201\/3. What is the biggest value in -2, -424, 0.4, t, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, b: 7}. What is prob of picking 3 b and 1 u?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - l + 1)*(6*l**2 + 3*l**2 - 1 - 3*l**2)*(-2*l**2 + 3 - 3 - l**2 + 0*l**2 + 0*l**2 - 2*l**2 - 2*l + 2*l + (-3*l + 2*l + 3*l)*(4*l - 4*l - l)).\nAnswer: 42*l**5 - 7*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9084 and 2?\nAnswer: 9082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 714 in -2\/5, -4\/13, -2\/7, 4\/11, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h + 2192 - 2192.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/6, -0.06, -0.3, 0.3 in increasing order.\nAnswer: -5\/6, -0.3, -0.06, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -428, 70, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 - 0. Suppose -b = -5*g - 12. Suppose g*m - 4 = 1. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3218 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4520 - -4516. Put q, -2\/145, 4, -2 in ascending order.\nAnswer: q, -2, -2\/145, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**2 - 2*z**2 + 91 + 9*z**2 - 91.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/7 - (-30)\/7. Suppose -2*c - j = -6, -4*c + 4 = 2*j - y*j. Solve -2*z + 6 = 2*l - 8, 1 = 3*l - c*z for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2021220020120 (base 3) in base 10?\nAnswer: -1218336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 200672, 802664, 1805984, 3210632, 5016608?\nAnswer: 7223912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/4 + 63439*n**3\/4 + 670761693*n**2\/2 + 2364211370021*n + 2363876005034.\nAnswer: (n + 1)*(n + 21146)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1282.\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 14014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w + 11*w + 128 = 0. Let f be 1\/(0 + 2\/12). Suppose -x = x + f. Which is the second smallest value? (a) -1\/5 (b) x (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8218965?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -1\/2, 1.93 in descending order.\nAnswer: 1.93, -2\/5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-4*5\/(-16))\/(11\/44)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 890 divided by 12?\nAnswer: 445\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -s**9\/756 - s**6\/60 + 2*s**3 - 9. Let w(k) be the third derivative of r(k). What is the third derivative of w(b) wrt b?\nAnswer: -240*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9.4? (a) -3\/7 (b) -3.6 (c) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100110110 (base 2) in base 10?\nAnswer: -1334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 3*j**2 - 2*j - 1. Let k(i) = -2*i**3 + 3*i**2 + 3*i + 2. What is 3*k(u) + 4*m(u)?\nAnswer: -2*u**3 - 3*u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.4 + -6. Let p = 40\/3 - 163\/12. Put b, p, -0.3 in ascending order.\nAnswer: -0.3, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502260529 to the power of 1\/2, to the nearest integer?\nAnswer: 22411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 44\/5 of a milligram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 187360 or -1\/4?\nAnswer: 187360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5}. What is prob of picking 4 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 187*u - 550. Let a be x(3). Solve k + 3*h = 13, -4*k + 11 = -a*k + h for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40445, -40392, -40325, -40238, -40125, -39980, -39797, -39570?\nAnswer: -39293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4*h**3 - h**2 + 4*h + 3. Let j(m) = 3*m**3 + m**2 - 3*m - 2. Let x(c) = 4*b(c) + 5*j(c). Give x(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/9810 and -41\/16350.\nAnswer: 49050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 6*u + 10 = 0. Suppose 0 = -2*b - b - u*v - 1, 3*b = -5*v - 16. Suppose 1 = b*p - 5. Solve r - p = -4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h**2 - 53*h - 8. Let v be f(-13). Solve -3*g + v*a + 14 - 5 = 0, -2*g + 2*a = -6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 27 = -0*y + a, -a = -y - 9. What is the least common multiple of 4 + 3\/(y\/(-12)) and 26?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/6 and 17\/8564.\nAnswer: 25692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -990a68 (base 11) to base 8.\nAnswer: -6022660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 1054 = -2*i, 3*a + 3*i - 1583 = 2*i. Let j = -153 + a. Let z = -180 + j. Round z to the nearest 10.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 13, -29, -4, -2, 34, 1 in descending order.\nAnswer: 34, 13, 1, -2, -4, -6, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*g**2 - 2*g + g**2 + 2*g as s*g**2 + w + p*g and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3119 = -4*j, 7*w - 2064 = 9*w + 5*j. Let y = w - -1469. Is y a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10\/41 - -212\/533. Let h = 81 - 112.4. Let p = -31 - h. Which is smaller: p or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f**2. Let o(q) = -871604*q. Calculate c(o(w)).\nAnswer: -3038774131264*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -758563, -1517120, -2275673, -3034222, -3792767, -4551308?\nAnswer: -5309845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2\/(w*w\/w**6)*(w**(2\/5))**35)**(2\/7) assuming w is positive.\nAnswer: w**(40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 3*m - 26, 4*o = 3*m + 3 + 7. Solve -2*t = -m - 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) - (-2 + sqrt(405))**2) + 5 + sqrt(180)\/sqrt(4) + sqrt(560)\/sqrt(7) + 4.\nAnswer: -400 + 52*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2111211 (base 4) to base 16.\nAnswer: 2565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000665 rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 15*p + 9. What is the remainder when a(8) is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -12172\/22983?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m + m - 3*m)*(14 - 4 - 6)*(-2*m**2 - m**2 + 2*m**2) + (m**3 - 6*m**3 - 6*m**3)*(-2 - 2 + 2).\nAnswer: 14*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 51, 215, 617, 1377, 2615?\n\"Answer: 20*x**3 - x**2 + 27*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 33*v - 193. Let s be u(6). Let q = 61.094 + -0.094. What is the third smallest value in 1\/2, s, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 1.002. Let p = 74 - 73.99823. Let s = p + y. Round s to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 + -89 + (111 - -67)\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*h*m**3 - 2*h*m**2 - h*m + 1669*m**4 + 129*m**2 - 526*m wrt m.\nAnswer: -42*h + 40056*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 39.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -1. Let q be (-3 + 4)*n\/(-2). Suppose 2*f + 0*f = 5*k + 4600000, q = 2*f + 5*k - 4600000. Round f to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 2732 = 2*o + 2729, 2*k - 5*o = -21 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 21595075.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -22874 = -4*r + w + 4188, 47375 = 7*r + w. What are the prime factors of r?\nAnswer: 67, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 39.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-171)\/27)*3\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 8:09 AM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46060843?\nAnswer: 1609, 28627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 2 - -2) + -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-312)\/416)\/((-7)\/(-4)))\/(1533\/(-294)).\nAnswer: 6\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 109 - 108.9999953. What is n rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.548 + -95.452. What is the third smallest value in -4, -5, l, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/150336 and 25\/24768?\nAnswer: 6464448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z = -14 - 20 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/52332 and 37\/18.\nAnswer: 156996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7549 - 8321 = -279*s + 7252 + 6205 for s.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 424736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x**4 + 3*x**4 + x**4 + (560 - 1203 + 1080)*(-3*x + 3*x - 3*x)*(-8*x**3 + 3*x**3 + 4*x**3).\nAnswer: 1310*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a**2 - 5*a + 2*a**3 + 2*a - a**3 - 5. Let m be r(4). Let f = 0.09 - -0.91. Is m greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -33846, -33845, -33844, -33843, -33842?\n\"Answer: u - 33847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 - -14. Let u(s) = 4 - 10 + 2*s - 1 + 0*s. Let h(f) = -5*f + 15. Let y(g) = o*u(g) - 6*h(g). What is y(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9150 and 854?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 - -101210220122?\nAnswer: 101210220020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of x**4\/6 + 4*x - 2. Let p(f) be the first derivative of b(f). Let a(o) = -2*o. What is p(a(t))?\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0297861 rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29344*o = -29584*o + 480 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -81.249 + 0.249. Let c = 81 + m. What is the fourth smallest value in -2, c, 5, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-10) - 1\/(-2)*2. What is the smallest value in -1\/4, -2, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3003*l**3 + 760 - 2980*l**3 - 199 to the form x*l**3 + z*l**2 + v*l + w and give x.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4))**43*k\/k**(-9\/7)*k**(1\/10) assuming k is positive.\nAnswer: k**(-11873\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 147 - 142. Suppose -262 + 826 = f*d - 4*v, 5*d + v = 559. Does 7 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ba when two letters picked without replacement from {b: 4, a: 6, y: 2}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3358002178 to the nearest integer?\nAnswer: 57948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 41 = m, -20 = 84*m - 89*m + 5*g for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23.23 + 29.315. Let w = d - 6. Let v = w + 2.915. Which is the second smallest value? (a) 2\/7 (b) v (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166342348 rounded to the nearest 10000?\nAnswer: 166340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 p when two letters picked without replacement from {a: 1, p: 3, n: 3}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of 0 + 0*v - 5\/4*v**4 - 4*v**2 + 3*v**3. What is the hundreds digit of g(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 74091 - 74091 - 21994*k as y*k + a and give y.\nAnswer: -21994","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*((-240)\/(-42))\/40)\/((-36)\/(-56)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1808278 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -139*r**3 - 2*r**2 + 517*r wrt r?\nAnswer: -834*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-8)\/(-10))\/((-99)\/55) and 87\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 - 20552*x**2 - 26171520*x + 585763200.\nAnswer: -4*(x - 22)*(x + 2580)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 87837543 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (155 + 153 + 105)*(5*l - 3*l + 0*l) as g*l + s and give g.\nAnswer: 826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2. Let z(a) be the second derivative of 5*a**3\/3 + 5*a. Calculate z(f(h)).\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/3))**30*(s*s**(-16)*s)\/(s*s**(-2\/5)\/s*s) assuming s is positive.\nAnswer: s**(-123\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w + 12. Let q be i(-3). Suppose q*f + 0*f - 27 = 0. Let h be 1*f\/(-6)*2. Let x(l) = -2*l**2 - 3*l - 2. Calculate x(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -211*l - 37. Let a be p(-5). Suppose 0 = -i + 4*n + 721, 4*n + 1177 + a = 3*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: d02 (base 15) to base 12\nAnswer: 183b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 321 and 6615.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.039246037 rounded to four dps?\nAnswer: -0.0392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/4*-2*-3. Solve q*d = 6*d + 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121.43 <= 801?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -1\/3 (b) 13\/3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*m**3)*(4 - 4 + 2*m) + 2*m**4 + 3*m**3 - 2 - 3*m**3.\nAnswer: 6*m**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 22*t**2 + 19*t - 31. Give j(-21).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1728 + 1765. Solve 2*f + 45 = v for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10391 - s**2 - 10391 - 76*s to the form r*s**2 + c*s + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -5*w + 13. Let c(p) be the second derivative of -p**3\/6 + 3*p**2\/2 + 31*p. Let a(m) = -m**3 + 6*m**2 - m - 2. Let o be a(4). Give o*c(y) - 6*h(y).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -6*h + 14. Determine i(8).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 50*w + 94. Calculate i(-49).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 37*f**2 + 37. Is d(-27) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0.1, -1, -2, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/827 - 2489\/3308. Let h = 0.2 + -0.1. Which is the second biggest value? (a) v (b) -3 (c) h (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**4\/15 - 332*h**3\/15 + 900214*h**2\/3 + 900280*h\/3 = 0. Calculate h.\nAnswer: -1585, -1, 0, 1420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3*j + 47 = j, 4*j - 21 = c. Let v(i) = 6*i - 4. Let u be v(3). Let z = u + c. Solve -3*h - 2*y = -z, 0 = 5*y + 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (2 - 4\/6). Let h(w) = -2*w**2 - 10*w + 30. Let x be h(-7). What is the second biggest value in x, k, 1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/(7\/2) + -4. Put -4, l, -2 in descending order.\nAnswer: -2, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1688 (base 9) in base 6?\nAnswer: 5555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3401 and 826.0198.\nAnswer: 4227.0198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/375 and 58\/225.\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqqqfqddqqqqqqd. Give prob of picking 1 d and 1 q.\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 462212 * -7\nAnswer: -3235484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n. Let w(z) = -z. Let i(o) = 3*o**3 - 19*o**2 + 21*o - 2. Let m be i(5). What is m*l(h) - 5*w(h)?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -1017*o**2 - 78307*o + 160. Calculate g(-77).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -3*g - 42 + 13, -2*g - 10 = i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -343, -2, 3, 5 in decreasing order.\nAnswer: 5, 4, 3, 0, -2, -343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**4\/3 - 1140826*r**3 - 6844972*r**2\/3 + 4563304*r + 27379856\/3 = 0?\nAnswer: -2, 2, 1711241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 108, -2\/19, 10, -0.4, 5\/4, -3, -0.29?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = q - 2*q. Let s = 4747 + -4749. Let f = 2 + 0. What is the closest to -2\/3 in s, q, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-350) - (-182924)\/9400?\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 74 - 67. Let w(j) = j**3 - 7*j**2 + 4*j - 10. What is the remainder when (1\/2)\/((-2)\/(-196)) is divided by w(c)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, j: 2, f: 5}. What is prob of sequence jfff?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 14) in base 8?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) 7780 (c) -2\/7 (d) -1\/2 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*u - 2*y, 3*u + 0*y = -5*y + 31. Find the third derivative of 35*z**4 + 43*z**4 + 122*z**5 - 120*z**4 + 42*z**4 - 130*z**u wrt z.\nAnswer: 7320*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 240 - -311?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -107 - 3909439.\nAnswer: -3909546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 - (-6 + -20 - -15).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 11*u = 20. Put -4, 4, 7, u in descending order.\nAnswer: 7, 4, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q - 26. Let m be b(13). Solve m = 2*j - 4 - 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 31\/5 of a millennium?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 245*u - 43. Is s(22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 18*j + 89. Give r(27).\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -29*f**2 - 5*f**3 + 7*f**3 + 22*f - 6*f - 14. Let a be t(14). Solve -p - 5*w = 2*p - 22, 0 = 4*p - w - a for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 14110*c - 1228252.\nAnswer: 2*(c - 86)*(c + 7141)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 643929460 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 42400.4317 to the nearest 10.\nAnswer: 42400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 640*g**2 + g + 188. Let k(p) = -1919*p**2 - 4*p - 558. Let r(y) = -7*d(y) - 2*k(y). What is the second derivative of r(j) wrt j?\nAnswer: -1284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-84)\/(-5))\/((-189)\/70 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*n + 14 = -35*n. Let x be (-49)\/(-35) - (18\/15)\/n. Solve -x*k - 3 = -9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-5*sqrt(110) + sqrt(110) - sqrt(110))\/sqrt(10).\nAnswer: 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4435 + 0.44353377. What is s rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**2 - 2 + 52 + 108 - 14 as s + l*f**2 + m*f and give s.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 46032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1576 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -82 + 115. Let n = 61 - f. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104114043 (base 5) in base 7?\nAnswer: 3613344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 10:37 AM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 3:50 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -203012 + 113221?\nAnswer: -23131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 6*p**2 + 3*p - 12. Let z be q(6). Find the third derivative of 8*h**5 - 7*h**5 + 3*h**2 - h**5 + 3*h**z wrt h.\nAnswer: 360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 143 and 704.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -8*c. Determine u(5).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 + -28. Let p(n) = -3 - 6*n**f - 12*n + 14*n + 3. Let w(b) = 9*b**2 - 3*b. Give 7*p(m) + 5*w(m).\nAnswer: 3*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 11*p - 818 = 9*p, 0 = 2*s + 3*p - 537. Suppose -274*l - 16838 = -s*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3*3\/18)\/((-12)\/(-72))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59 - -60. Suppose -2*j = -5*y + 4 - 35, -y - 5 = 0. Sort -2, j, o in descending order.\nAnswer: j, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*b = 8*b + b - 2838680. List the prime factors of b.\nAnswer: 2, 5, 53, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3068709 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/23, 1, 2, -30\/13, 0.2, 39 in descending order.\nAnswer: 39, 2, 1, 0.2, 2\/23, -30\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-6) - (-6)\/4. Let w = -42 + 42. Solve -3*d + 4 = r*i + 17, -5*d + 5*i - 30 = w for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 0 + -2)*-1. Suppose 24 = 12*i - 96. Suppose 3*r - j*x = 30, 5 - i = 2*r + 3*x. Solve -r*y + 8 = -y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 90798*k. Let d(s) = 106*s**2. Give d(z(l)).\nAnswer: 873893341224*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 n when two letters picked without replacement from ukbkbbnbkbbbkkdbbbk?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 3 - -4 - (-1 + 0)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -287 in 4, 5, -2, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 59307 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -105*w**2 - 103*w**2 - 99*w**2 + 308*w**2. Let x(o) = -2*o**2 + 2. Calculate n(x(a)).\nAnswer: 4*a**4 - 8*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -1\/4 (c) -5 (d) -1 (e) -10\/43\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 1560*t - 19206. Calculate x(12).\nAnswer: -486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k**(-1\/3)\/k))**(3\/2))**(2\/147))**(4\/35))**(2\/71) assuming k is positive.\nAnswer: k**(8\/52185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15914071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 64 + 1 = 0. Calculate the remainder when 59 is divided by v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -44?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -177595c0 + 7?\nAnswer: -177595b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lyhhhllhyhyhyyy. Give prob of picking 1 y and 1 l.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + -1 + 1 + 33. Suppose -5*m + 15 = -3*m - 5*g, 4*m - q = 5*g. Let x be m + ((-6)\/3)\/1. Calculate the greatest common divisor of x and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -232 + 358. What is the highest common divisor of 210 and x?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3, -2*r + 6*t = 4*t. Let i(q) be the third derivative of -q**6\/120 - q**5\/20 - q**4\/8 - q**3\/6 - 134*q**2. Give i(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 66 = 2*q + 2*q, -79 = -3*i - 4*q. Let b(y) = 14 - i + 4*y + 8. What is b(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 334 or 274?\nAnswer: 274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 764260.4 litres?\nAnswer: 764260400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 + -15. Suppose -5*d + a = -17. Let u = -237 - -254. Calculate the remainder when u is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 + 2*r**3 + 0*r**3 + (-6 - 3 + 2)*(3 - 2*r - 3)*(-3*r**2 + r**2 + 3*r**2).\nAnswer: 17*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/5 (b) -659 (c) 318 (d) 1\/7 (e) 2\/15 (f) -0.5 (g) -0.4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94413?\nAnswer: 3, 11, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -b90 (base 14) to base 8\nAnswer: -4352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2321 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111010010110011010 - -101?\nAnswer: -11111010010110010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 9 - 2)*(-3*m + m + 5*m)*(2 - 2 + 2)*(-3 + 0 + 2) as i + q*m and give q.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 2, u: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2. Let d = 410 - 394. Let u = -9 + 22. Let w(k) = -16 + d + u*k**2. What is x(w(l))?\nAnswer: -169*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3*sqrt(130)\/sqrt(640).\nAnswer: -4 + 3*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, 2, 44, 112, 212, 350?\nAnswer: 532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1283*y**3 - 1283*y**3 - 1291*y**3 + 3860*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a microsecond in nanoseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*y - 2*g - 18, -4*g = -3*y + 18. Suppose y*c = 5*c + 79. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.23 in -3, 2\/11, 8, 84, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 396 and 620244.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1655119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*q + 2*n, 12 = -5*q + 5*n + 2. Let z(g) = -2*g - 5. Let y(d) = -2*d - 5. Let x(k) = 7*y(k) - 6*z(k). Let u be x(q). Sort 10, -4, u.\nAnswer: u, -4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/15 (b) -13.3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 103.8 or 43\/89?\nAnswer: 103.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2500601*f**3 - 2345637*f**2 wrt f?\nAnswer: 15003606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2 + -4*sqrt(2736) + sqrt(2736) + sqrt(2736) + sqrt(2736)*1 + 1)**2.\nAnswer: -144*sqrt(19) + 2772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 5*i**2 + i + 7. Let c be o(-5). Solve -a + 2*n = -c, -2 + 6 = -4*a + 4*n for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 83bba7 + -4?\nAnswer: 83bba3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-8 + 5 - -9 - 1 - 15 - 53)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122405005 (base 6) to base 7.\nAnswer: -26050004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1607 + (-1)\/(5\/(-15)). Let p be 10*(1 - 2)*-1. Suppose -o + g = 5*z - 295, 0 = -2*o + p. Round z to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjcjjjjjjjjjjj. Give prob of picking 1 c and 1 j.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(-8755)\/(-2397) + 11. Is 2.1 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1*u)**(-4\/7)*((((u*u**(2\/9)*u)\/u)\/u)\/u)\/u*u**(-1\/2))\/(u*((u*u\/u**(-3))\/u)\/u*(u\/(u\/(u\/(u\/u**6))))\/u*u*(u**(-2\/7))**(2\/19)) assuming u is positive.\nAnswer: u**(-32057\/2394)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 12 - 7. Solve 10*b = f*b - 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-24)*4 - (-5 + 2). Suppose -p = x - 0*p - 3, -4*x = p. What is the nearest to -0.1 in 1\/5, x, l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, 153, 105, -3, 3.\nAnswer: -7, -5, -3, 3, 105, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 242, 485, 728, 971, 1214?\n\"Answer: 243*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6419 is divided by 5787?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, 0, -10, 0.2, -7629 in decreasing order.\nAnswer: 0.2, 0.03, 0, -10, -7629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4 + 6*((sqrt(112) - (0 + sqrt(112) + sqrt(112) + sqrt(112))) + sqrt(112) + -4)*2 + -3)**2.\nAnswer: 5280*sqrt(7) + 19151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51 - -55 - 3 - 48?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 947 is divided by 174.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 29, 23, 3, -31?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w + 1. Give u(16).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17044*j**3 + 7151*j**2?\nAnswer: -102264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 135 = -5*d, -i + 3*d + 459 = -4*i. Is (-3)\/(-5) + (-54510)\/i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 758?\nAnswer: -4\/379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1814099, 3628214, 5442329, 7256444?\n\"Answer: 1814115*c - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8110)\/(-44605))\/(2\/462)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 11*q**2 - 122*q + 4. Give p(7).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -25018.6282 to the nearest ten.\nAnswer: -25020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + 0.4. Let s = m - -2.9. Let i = s - 3.00008. Round i to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2430) - -4*(sqrt(2430) - 1*sqrt(2430)) - -5*(sqrt(2430)*-1 - sqrt(2430)))\/((sqrt(120) - (sqrt(120)*1 - sqrt(120)))\/(2*-2*sqrt(5))))**2.\nAnswer: 131220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 166 + -97. Suppose 0 = -3*p + 5*g + u, -3*p + p + 4*g = -46. Let a = p - 19. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-9)*-3*-15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/819 and 40\/5187.\nAnswer: 15561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 4 - 5 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 12*f**3 + 2*f**2 + 4*f - 11. Suppose -10 = 3*o - 25. Is j(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 j when two letters picked without replacement from {d: 1, k: 4, j: 2, a: 1, g: 7}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -1551 - 77*z - 81*z + 72 + 158*z + 3*z**2 as n*z + m + a*z**2 and give m.\nAnswer: -1479","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 5, -10\/9, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 8*v**3 + 91*v**2 - 66*v - 25. Calculate b(-12).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90\/(-216)*-6*(-1)\/(-4).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/6*-2*(-6)\/(-16)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33301102 (base 4) in base 5?\nAnswer: -4031334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of 5*t**8\/336 - t**6\/6 - t**5\/6 + 5*t**4\/8 + 5*t**3\/3 - 103*t**2. Solve h(d) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 + 61569*j + 61571*j - 184712*j + 2*j**3 + 61572*j.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 442 - 3632?\nAnswer: -31a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4, 1\/21, 0.309, 5, 3, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -223 - -423. Let p = k + -200. Solve -c - 3 + 0 = p for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -526*n**2 - 3*n + 524?\nAnswer: -1052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*x + 1229 + 40 = -4*x + 261 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(20)\/sqrt(2))\/(sqrt(128)\/sqrt(4)))**2.\nAnswer: 125\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 72228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-6))\/(-8*13\/780)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/5293 + 185271\/42344. Let c = 1\/96395 + -354830003\/771160. Let s = -941\/2 - c. Calculate the common denominator of s and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1032*w - 875923*w**2 + 7232*w + 875925*w**2 - 592*w + 7357448 = 0.\nAnswer: -1918","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 40, 8, -4 in decreasing order.\nAnswer: 40, 8, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1550 - 226. What are the prime factors of n?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -o**3\/3 - 7*o. Let r(k) = 7*k + 4*k - 10*k + 2*k. Determine f(r(w)).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*k = 135*k - 10, -5*u + 4*k - 5 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 779 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 8:47 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1*807*2209\/(-141).\nAnswer: 47, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*z**4 + 14*z - z**3 + 29*z - 45*z - 2*z**3 - 1 - 2*z**4 in the form t*z + u + b*z**3 + s*z**4 + h*z**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 38 - 127 = 0. Calculate the highest common divisor of p and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2242514 (base 6) in base 16?\nAnswer: 1bfee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q + q**2 + 2*q**3 + 34 - 16 - 20 as h*q**3 + b*q + s*q**2 + m and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5172 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22)\/(-66)*(0 - 4\/(-6)). Which is the third smallest value? (a) -1 (b) r (c) 2\/7 (d) -2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + 0.2. Let l = -1.11 - 0.29. Let a = 1.8 + l. What is the nearest to j in a, -0.5, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 4\/(-6))*18. Suppose -3 = -2*j + 31. Let a = j + r. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 116, 1, 4, 18, 3\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 14*f + 6. Let k be v(10). Calculate the remainder when -2*(1 - k\/4) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15132400 to the nearest 10000.\nAnswer: 15130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 506873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105717 is divided by 1355.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/((41\/(-8) - -5)\/((-2)\/(-8))). Solve -5*n - 16 = -4*o, 3*n + 16 = -z*o + 6*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117520?\nAnswer: 2, 5, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(-2*l**3 + 109*l**4 + 231*l**4 + 566*l**4 + 212*l**4).\nAnswer: 2236*l**4 - 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 19633.\nAnswer: -19632.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-160)\/400*(8\/(-6))\/((-2)\/15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 255 and 311763?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p - 6. Suppose -19 = z + 3*u, -4*z - 3*u = -z + 33. Determine l(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 18 + 6 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fyyf when four letters picked without replacement from {y: 1, w: 5, x: 1, z: 2, f: 6, h: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**5 + 3870*n**4 - 3740353*n**3 - 7492320*n**2 - 3748096*n.\nAnswer: -n*(n - 1936)**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 625866194?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*o + 12*o - 328 + 328.\nAnswer: 26*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -4076\/10069 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.725427 minutes in seconds?\nAnswer: 343.52562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*y + 6197 = 5679 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 42.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -47*n - 3. Let m be b(-2). Suppose -2*y = -4*v + 98, 0 = -3*v + 3*y + m - 25. Let a = 48 - v. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/7)\/(105\/245) + (-11)\/(-3). Solve -3*v = w, -r*w - 5 = 3*v + 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millennium in years?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0*x = -16400. Round x to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 164386.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -10*l + 10. What is the remainder when h(-6) is divided by -1 + 7\/(32\/6 - 5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 - -148c582?\nAnswer: 148c579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*x**3 + 39595*x - 39594*x - 2*x**2 + 4*x**3 - 1 to the form s*x + l + r*x**3 + u*x**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55\/6 or 6\/469?\nAnswer: -55\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 2:13 AM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -298 and -0.1?\nAnswer: 29.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**3 + 15*u**2 - 8*u - 2. Calculate s(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -6437*r + 11070. Let b(o) = 35*o - 60. Let w(l) = 369*b(l) + 2*z(l). Let a(v) = -v. Let m(y) = 15*y. Let j(d) = 18*a(d) + m(d). Calculate w(j(f)).\nAnswer: -123*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1317525?\nAnswer: 3, 5, 11, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.98 and -5.\nAnswer: -4.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-6))\/(2*(-2)\/18). Let a be (-4)\/6 - p\/(-9). Let w be (3 - (-4 + 4)) + 0. Put w, 4, a in increasing order.\nAnswer: a, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, 301, 1029, 2103?\nAnswer: 3523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 11:47 AM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2*d - 2, 5*d + 55 = -5*r - 0*r. Let a be 0 + d*1\/(-2). Suppose -a*y - y = -84. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of 9*l**2 + 11\/210*l**7 + 0*l**4 + 0*l + 0 + 0*l**6 - 1\/2*l**3 + 0*l**5. What is the first derivative of c(b) wrt b?\nAnswer: 44*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*x + 0*x**2 + 18*x - x**2)*(-10 + 3*x + 10).\nAnswer: -3*x**3 + 30*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**7*u*u*u**(-6\/7)*u)\/(u\/(u*u*(u\/(u\/(u\/(u*u**(-6)))))\/u)*u**(6\/11)))**(-27) assuming u is positive.\nAnswer: u**(-30348\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 + 21*u + 14. Calculate v(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*v + 1126 + 1581 = -1253 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - -3. Let g be 8\/12 + (1 - (-32)\/6). Let x = g + o. Calculate the remainder when x is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 14*r - 9*r. Suppose -r*h + 426 = h. What is the remainder when h is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (389 + -395 + (1 - (0 + 2)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1cf65a8 + -5?\nAnswer: -1cf65ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88856 is divided by 3863.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -21) + 72\/(-8)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -49 - 79. Is w a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -10*i**2 + 9*i + i**3 - 2 + 6*i - 4 - 4*i. Let g be x(9). What is the greatest common divisor of 3 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221585491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (18\/4)\/((-59)\/(2360\/330))\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32*y - 32*y - 39*y**3 + (-3*y**2 + 0*y**2 - 2*y**2)*(4*y + 4*y + 16*y).\nAnswer: -159*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i - 9 = 33*i - 12*i - l, 0 = 3*l for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (56 + -13 - (-14 + 29)) + -24 + 0 + -15?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3974 + 7?\nAnswer: 3981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7*0.018.\nAnswer: 0.0126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (7 + -6 + 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11)\/(33\/(-42)) + 4. Suppose j*r + 827 = 7469. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -380, -406, -460, -554, -700?\nAnswer: -910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2040777878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(((-292)\/(-1241))\/((-14)\/(-119))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t - 2717 = -2685 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 17 - 85*d + 58*d + 42*d. Let r(m) be the third derivative of 5*m**2 + 0 - 4\/3*m**3 + 0*m - 7\/24*m**4. Determine 13*r(g) + 6*y(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49372?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w - 3*w + w)*(-194*w + 4761 - 2378 - 2379) in the form u*w**2 + o*w + v and give u.\nAnswer: 388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**2 - 8186*t**4 + 4090*t**4 - 57*t**3 + 4090*t**4 + 425*t**3 in the form d*t**2 + i + j*t**4 + f*t + r*t**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*w - 2*p + 4, 4*p = -3*w + 16. Let g = 3 - w. Let h be 2*(g\/(-6) + 1). Which is smaller: h or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 1)*0\/(-4). Suppose p = -3*x - 2*d + 19, 3*x - 3*d = x - 9. Solve 0 = -5*i + s + x - 9, i + 14 = -3*s for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -62, -490, -1630, -3830, -7438, -12802, -20270?\n\"Answer: -58*d**3 - 8*d**2 + 2*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 s when two letters picked without replacement from rsrrrrrr.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -i - 4*d + 4, -4*i + 1 = d. Let a = -2 - 4. Let q be (-8)\/a*(-3)\/(-14). Is q at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*p + 1019*p - 71*p.\nAnswer: 1082*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 12242 + 4*f - 12242. Let w(u) = 181*u**2. Calculate k(w(t)).\nAnswer: 724*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 9*m + 3855. Let c(k) = 10*k - 7. Give c(q) - p(q).\nAnswer: q - 3862","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w**3 - 5*w**2 - w - 7. Let h(r) be the first derivative of 7*r**4\/4 + 3*r**3 + r**2 + 13*r - 6258. What is 11*a(b) + 6*h(b)?\nAnswer: -2*b**3 - b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.69262261 to 2 decimal places.\nAnswer: -0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-4 + 0 + sqrt(21)\/sqrt(12) - (sqrt(378)*1)\/(6*sqrt(24)\/sqrt(4))) + 4)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**3 + 1305*i**2 - 90795*i + 30236 - 7*i**3 - 61783 + 6300*i - 54258 = 0.\nAnswer: -1, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 10*h - 20 = 0, -3*h + 761 - 836 = 12*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 2887504600 and -118.4.\nAnswer: 2887504481.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 6*a**2 + 18*a - 25. Give u(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3121755*u**5 + u - 843570 wrt u?\nAnswer: -62435100*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r. Let q(m) = m**3 + 4*m**2 + m - 3. Let y be q(-3). Let d be w(y). What is the second derivative of -d*b**2 + 3*b + b**2 + 0 + 0 wrt b?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 190 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 b when three letters picked without replacement from {n: 1, r: 3, e: 2, l: 2, b: 3, a: 4}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/200 and 109\/23200.\nAnswer: 23200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {l: 2, z: 8, d: 2}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and 1637552.\nAnswer: 1637556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -818030.9939 - -817932. Let g = 99 + d. What is g rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 4:51 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r**2 - r. Let u be j(-4). Suppose 7*v - u = 3*v. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v - 4. Let x(i) = 3*i + 5. Let d(q) = 5*u(q) + 4*x(q). Let s(c) = 206*c**2. Calculate s(d(y)).\nAnswer: 824*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 231928989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -255.1435 * -1\nAnswer: 255.1435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 313862 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 589752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*k - 3138 = -2*t, 3*k + 3*t + 2958 - 3435 = 0. Let p(r) = -r**3 - 5*r**2 - 5*r - 5. What is the remainder when k is divided by p(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.8, -12, -20?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - (19 + -4) - -70?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 245 divide 2479155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - h + 14. Let m(c) = -c**2 - 2*c + 14. Let l(a) = 3*d(a) - 2*m(a). Let v be l(0). Calculate the greatest common divisor of 154 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**2 + 3*r. Let z be v(-2). Suppose -z*a + 0*a = -40. Suppose -a = 3*t - 8*t. Solve t*l + l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 4*q**2 + 2*q + 1. Let n be p(-2). Suppose n + 0 = -a. Sort a, -1, -3 in decreasing order.\nAnswer: -1, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 504 and 975366?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2429 greater than -2429?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4262 divided by 2.\nAnswer: 2131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 161911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8256665*d**3*z**2 + 10*d**3*z - 12*d**3 - 6908300*d**2 wrt z?\nAnswer: 16513330*d**3*z + 10*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -5\/4*k**4 + 0*k**3 + 12*k**2 - k + 25 - 3\/5*k**5. Find the second derivative of w(a) wrt a.\nAnswer: -36*a**2 - 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-130)\/(-10556)*1*-284 - (30 + 2616\/(-87)).\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 + 1310*w**2 - 166864*w + 646624.\nAnswer: -2*(w - 484)*(w - 167)*(w - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1476581*h*p - 2603700*p wrt h?\nAnswer: 1476581*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -17, 0, -1, 9 in descending order.\nAnswer: 16, 9, 0, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 6:33 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245473*g - 245604*g = -739 - 2012 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 4)*(-104)\/3. Let g be (a\/(-50) - -1) + 1. Let l be ((-2)\/(-3))\/(14\/63). Put 4\/7, g, l in descending order.\nAnswer: l, 4\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21480 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/10*-9*16\/1836?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3*f = 36 - 24, -2*t = -4*f + 16. Suppose 5*m - 6 = 34. Solve t = -2*d + 3*i + 14, m*d - 5*i = 3*d + 25 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83895.7 tonnes to micrograms.\nAnswer: 83895700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -779 - -783. Calculate the lowest common multiple of m and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 95 and 460?\nAnswer: 8740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 5*x**2. Let o(p) = -3417*p**2 - 58*p - 2. Determine o(h(g)).\nAnswer: -85425*g**4 - 290*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + 66. Let r = -66.5 + q. Let s = r + -4.5000168. What is s rounded to 6 dps?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 3*sqrt(245) + sqrt(245))*2 + sqrt(245) + (sqrt(245) - 3*(sqrt(245) + sqrt(245) + 2)) + 3 + sqrt(245) + -2*sqrt(245) + -4)**2.\nAnswer: 126*sqrt(5) + 2214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.188 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j + 5. Let y be v(0). Let f = 5 - 3. Let d(o) = 3*o - 3. Let w be d(f). Solve y*q - 17 = w for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/5, -1\/6, 3\/14, 1, -2\/7 in increasing order.\nAnswer: -2\/7, -1\/6, 0, 1\/5, 3\/14, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - o - 2026, -o + 1000 = 4*j - 1706. Is 35 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66 - 30 - 9)*(0*w - w + 2*w + (-4 + 3 + 3)*(-w - 2*w + 4*w) - 22*w - 10*w + 55*w + 0*w - w + 2*w + (0 - 2 + 0)*(3*w - 4*w + 0*w)).\nAnswer: -3045*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**(-10)\/c)\/c)\/c**(2\/5))\/(c*c**(-1))**(2\/87))**(2\/63) assuming c is positive.\nAnswer: c**(-124\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7258.989 microseconds in milliseconds?\nAnswer: 7.258989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 69, 124, 171, 192?\nAnswer: 169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -357207790 by 129658.\nAnswer: -2755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - y**2 - y - 14. Let w(p) = 0*p - 5 - 1 - 3*p + 2*p. Let o be w(-6). What is u(o)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 43, 45, 47?\n\"Answer: 2*m + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 2386?\nAnswer: -2382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100000 + -11011001110110?\nAnswer: -11100000010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10011 (base 2) to base 12\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 1 = -3*b. Factor 3*y**2 + y**2 - 6*y**b - 5*y**4 - 19*y**4 - 14*y**5.\nAnswer: -2*y**2*(y + 1)**2*(7*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 - 24. Suppose 4*d - 120 = -8*d. Find the first derivative of -i**4 - w + d + 9 + 2 wrt i.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*p**2 + 6486*p - 110*p**2 - 1 - 6486*p + 185*p**2 + 1.\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16661\/2 + -8330. What is the closest to -0.1 in 0, 2\/13, f, 0.09?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 39, 1254, -0.45, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 - 370624*t - 741264.\nAnswer: 4*(t - 92658)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 219 = -4*x - 129, -5*g = 2*x - 57. Solve -14*c + x*c - 28 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*g - 2*w - 103, 0 = -g - 4*w + 27. Suppose g = 5*d - 4*k, -k - 8 = -2*d + 3. What is the remainder when 3 + 0\/(0 - -2) is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-6 + (-5 - -7)) - -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.9682 rounded to 1 decimal place?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.639109981 rounded to 2 dps?\nAnswer: 0.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -121*g + 45*g + 0 - 151*g - 1 to u*g + j and give u.\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.026? (a) -4 (b) -0.07 (c) -3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55185046 and 15767156?\nAnswer: 110370092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 6 = 3*a, -4*a = 5 - 13. Suppose 0 = h*c - 24 + 8. Solve -3*v - 7 = 4*l - 4*v, 11 = c*l + 5*v for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24372 - 24358. Solve 0 = 5*b + c*p - 9*p, -12 = -2*b + 2*p for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-1 - -2) - -6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**3 + 0*g**3 - 3*g**4 + (-3*g - 5*g**3 + 3*g)*(-g - 3*g + 2*g) + 2*g**2 + 2*g**4 - 2*g**2.\nAnswer: 9*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 4 + (113 - 122).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00661230489 to 4 dps.\nAnswer: -0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 84081? (a) 55 (b) -4\/7 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 0 (c) -0.3 (d) 1.985 (e) 551\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*l + 6. Suppose -2*j + 74 = -l*o - o, j - 27 = -o. Let h = j - 12. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2 + 5*v - 6. What is d(5)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((-42)\/112*-200)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/4))**(-15\/4)\/((z**(1\/3)*z*z*z)\/z)**1 assuming z is positive.\nAnswer: z**(-157\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a + 2*a - 2*a)*(-1 - 106 - 81) - 1 + 1 - 4*a + (-3 + 4 + 0)*(0*a - 3*a + 4*a) + 3 + a + 5*a - 5*a in the form v*a + n and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 202105260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n - n**2 + 0 + n**3 + 7*n**2 - 5 + 0*n**3. Suppose h + 4*h + 15 = -z, h = z + 3. What is u(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213758?\nAnswer: 2, 17, 6287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 38 - (-18)\/(-6 - 0). What is the derivative of 19 + 5 + 31*v**2 - m*v**2 wrt v?\nAnswer: -8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) 0 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - p - 1. Let h(d) be the first derivative of 5*d**3\/3 - 3*d**2 - 6*d - 5. What is 11*g(y) - 2*h(y)?\nAnswer: y**2 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 40249?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -347\/3 smaller than -116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1002 + 24?\nAnswer: -756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/33380 and 20\/5007.\nAnswer: 100140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 130914950141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-40)\/8 + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + 1)\/((-2)\/12). Suppose 2*f - 96 + c = 0. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -2 (c) 121 (d) 3 (e) -1 (f) 1\/2 (g) -57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44*f**3\/3 - 292*f**2\/3 + 112*f\/3.\nAnswer: -4*f*(f + 7)*(11*f - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5*b + 1. Let s be a(-2). Let h(z) = s*z**2 + 4*z + 104*z**3 - 105*z**3 - 4 + 0*z. Does 20 divide h(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 0 + (-12)\/6*9. What is the units digit of 4\/16 - 3935\/n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**3 - 23*t**2 + 64*t + 320. Determine m(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/7 + 6*s**2 + 40*s\/7.\nAnswer: 2*s*(s + 1)*(s + 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x**2 + x - 2. Let q be r(1). Suppose -q*t = -9 - 5. Which is bigger: t or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14706724 is divided by 7115.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 293 and 29593?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 188864.4ug in nanograms?\nAnswer: 188864400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -121 + 95. Let c be 5 + (-4)\/(-3)*39\/q. Let n(u) = -u + 21. Let v be n(0). Calculate the greatest common divisor of v and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35413.\nAnswer: 7, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**4\/4 - 2*a**2. Calculate f(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - (2 + 8)) + (-3 - 3) + 9?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**4 - 4*c**2 - 2*c**3 + 1\/2*c**5 + 0 + 0*c = 0?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 599101254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of c**4\/12 + c**3\/3 + c**2 - 3*c. Let p(g) = 2*g**2 + 3*g + 3. Let s(r) = 5*j(r) - 2*p(r). Factor s(y).\nAnswer: (y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -8 (c) 3\/8 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64333 + 30878*z**2 - 64333.\nAnswer: 30878*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 82695017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -8*q - 73. Let k be m(-9). Put -4, -2, 5, k in decreasing order.\nAnswer: 5, k, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-7)*1\/78*6.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 - 1170*n + 1173.\nAnswer: -3*(n - 1)*(n + 391)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57145 and 4895.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -k**2\/2 + 2. Let r(g) = -3*g. Let a(d) = -2*d. Let f(t) = -7*a(t) + 5*r(t). What is h(f(x))?\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*y**2 + 11783*y - 11783*y.\nAnswer: -34*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3067263, 6134564, 9201869, 12269178?\nAnswer: 15336491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/25 and -24\/174125.\nAnswer: 174125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 592151248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1937, 611, -1599, -4693, -8671, -13533, -19279?\nAnswer: -25909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + (20*-50)\/(-4) + -2. Suppose 0 = -2*w + 10*w - 3*w. Suppose w = z + 2*r - 362, 507 = 2*z - 3*r - b. Is 62 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 3*b - 3293, 3*r = 3*b - 5*b + 9893. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -964 divided by -964\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2583628.38 milliseconds in days?\nAnswer: 0.02990310625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2286*u + 4 = -2287*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 106 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 - -94. Is a a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25408 is divided by 417.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -1, 1\/2, -4088?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 5*d**2 + 4)*(-4*d**2 + d**2 + 2*d**2) - 9*d**4 - 8*d**4 - 5*d**4.\nAnswer: -17*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 343.9 + -364. Let q = 95.9 - y. Is q less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10985?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*2*5)\/((sqrt(2) + sqrt(8)\/sqrt(4))*-1 - sqrt(72)))**2.\nAnswer: 275\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2790396 divided by 6\nAnswer: 465066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(2) + 0 + 1 + -2)**2.\nAnswer: -4*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wrev when four letters picked without replacement from {v: 10, m: 2, r: 2, e: 3, w: 3}.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -2\/75*w**5 - 3\/5*w**3 + 0*w + 0 - 1\/600*w**6 + 77*w**2 - 7\/40*w**4. Determine h, given that a(h) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.1 and 0.93088725?\nAnswer: 2.03088725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 13.8, -56, -2 in decreasing order.\nAnswer: 13.8, 2\/13, -2, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 q, and 2 x when four letters picked without replacement from {x: 2, u: 1, a: 3, m: 4, b: 1, q: 1}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-216)\/60)\/(-203*(-4)\/(-80) - -10)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 166 by -89.\nAnswer: -166\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-36)\/(-6)*(-1)\/(-1047). Which is greater: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 3*u**2 + 2*u - 3. Let t = 34 + -38. Let a be b(t). Suppose 12 = 8*s - a*s. Which is bigger: 26\/7 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*(-9)\/10080)\/(78\/273)?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 11 = -y, 0*w + y - 3 = w. Suppose -25 = -w*i + i. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011221202 (base 3) to base 7.\nAnswer: -124625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 7 - 10 - 1 - 25*b + 3.\nAnswer: -25*b + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, p: 3, m: 1, t: 5, y: 6}. Give prob of sequence muy.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.022728 to three decimal places.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - -0.4. Let p = 8.3 + -8. Let m = 0.8 - p. Sort k, 5, m in ascending order.\nAnswer: k, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*d = 141*d + 999 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*z - 36 = 199, -2*z - 54 = c. Let f = c - -45. Let k(m) = 1. Let b(o) = -o - 1. Let w(y) = 2*b(y) + k(y). Give w(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of 0*a + 4*a**2 + 7\/12*a**4 - 7\/3*a**3 + 0. Find the first derivative of j(d) wrt d.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 61939, 61946, 61953, 61960?\n\"Answer: 7*h + 61932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(51)\/sqrt(3) + -1 + 1*(sqrt(17) + -1)*-2.\nAnswer: -sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 94164?\nAnswer: 470820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 22*l**2 + 92*l - 1034. What is m(20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1554 or -1568?\nAnswer: -1568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -446, -589, -732, -875?\nAnswer: -1018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - f + 1. Let a(s) = -2*s**2 - 5*s + 3. What is a(d) - 5*v(d)?\nAnswer: 3*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -54608546 plus 3?\nAnswer: -54608543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and -39272.7325846?\nAnswer: 39272.3325846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -11*l**2 + l + 1. Let i(u) = u - 3. Let v be i(3). Suppose 0 = -5*f - o - v*o - 4, 0 = -3*f - 4*o + 1. Give x(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -2*r**5\/5 - r**4\/2 - 29*r**2 + 82. What is the second derivative of u(z) wrt z?\nAnswer: -24*z**2 - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5340 at most -5333?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 79*d**4 - 12*d**4 - 395*d**5 + d**2 + 15*d**3 + 3418*d + 75*d**4 - 142*d**4 wrt d.\nAnswer: -23700*d**2 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r - 4. Suppose -3*c + 4*c + 3 = 0. Let w = 8 + c. What is o(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 - -0.7. Suppose -3*b = 15, b = -2*p + 3*b + 26. Suppose -5*r = -p*r + 9. Put -0.4, r, y in descending order.\nAnswer: r, y, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.016 - 5. Let u = -14642 + 14642. Put q, u, 1\/6, 2 in descending order.\nAnswer: 2, 1\/6, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 190 and 10982.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((4*(sqrt(495) + sqrt(495) + 1*sqrt(495) + sqrt(495))\/sqrt(11)*6)**2 + 0).\nAnswer: 829440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -5*t - 86. Let f be r(-28). Let i be 12\/f + 32\/18. Solve 2*n - 7 = n + 4*s, -i*n = -3*s - 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, -9, 62.0518?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/373 - -24826\/20515. Calculate the common denominator of (3\/48)\/(30\/904) and n.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 356 + 364 - 1087 + 361 + 2*s. Let z(w) = 7*w - 25. Determine -9*d(f) + 2*z(f).\nAnswer: -4*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -3 - 2 - (0 - 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a microgram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 16*g - 13. Let v be 2\/(-4)*(14 + 20). Let p be w(v). Solve p*l - 12 = -4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmmmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + j**2 + j + 47. What is the remainder when z(0) is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(4752)*1)\/sqrt(11))**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + sqrt(1008)) + (sqrt(1008) - (-3 + sqrt(1008) + 0)))**2.\nAnswer: -288*sqrt(7) + 16137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-1\/3))\/r)**(-23) assuming r is positive.\nAnswer: r**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 0 - 2. Suppose -20199996 = x*r + 2*d, 18167437 = -2*r + 5*d - 2032573. Round r to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54.341 != -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/4 of a decade in months?\nAnswer: 2610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -10, -3, -0.01933, -2, 31, 2?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.47679? (a) 3 (b) 3\/29 (c) -0.7 (d) 2\/7 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.0855, -1\/7, 0.2.\nAnswer: -1\/7, 0.0855, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*g - 1130 = -43*g for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 6:17 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -765\/7262?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*g - 72 = 28*g. Suppose z = -3*t - g, 5*z + 0*t = -3*t - 84. Which is greater: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*b = -88*b - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -90192 * -0.1082\nAnswer: 9758.7744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 47.05833 centuries?\nAnswer: 470.5833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - (1 + -2 - (-3)\/(-3)). Let w be -93*((1 - 44\/12) + v). Let x = 30 + w. Which is smaller: 1\/85 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*g - m + 25, 4*m = 3*g - 20. Let t = -13 + 28. Let v be (g\/42)\/((-10)\/t). Which is the smallest value? (a) -0.4 (b) v (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -0.644?\nAnswer: 0.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/(-80)*5\/18.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 39*u**2 - 12*u + 24. What is the hundreds digit of s(19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3014 + 2650 = -28*j for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6873.5 times -267\nAnswer: -1835224.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 99 + -102. Does -16\/7 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o + 14*o = 4. Suppose 2*z - 12 = -o*z. What is the second derivative of -13*t + 1 + 9*t - 3*t**z - 1 wrt t?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 232923, 232917, 232911, 232905, 232899, 232893?\n\"Answer: -6*m + 232929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-24)\/(-30) - (-11)\/5. Suppose -t - 5*b = -5*t + 4, 0 = -b. Solve -t = q - c for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12122 and 7337?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59 + 89. Suppose -2*z + 4*b + a = 0, -20 = -3*z - 4*b + 5. Suppose 0 = f - 17 + 6. Calculate the highest common factor of f and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12, 28, 64, 126, 220, 352, 528?\n\"Answer: f**3 + 4*f**2 - 3*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 576124329 to the nearest integer?\nAnswer: 24003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2868 (base 13) to base 11\nAnswer: -4422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 u, and 1 l when three letters picked without replacement from udfflxhh.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(sqrt(4) - (5*sqrt(4)*-1 - sqrt(4))).\nAnswer: sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12409\/4 - 3076. Let q = 899\/34 - r. Find the common denominator of q and 7\/6.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3922 is divided by 299.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -97653*y**3 - 81287*y wrt y.\nAnswer: -585918*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4145 is divided by 123?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -98858.49 rounded to the nearest 100?\nAnswer: -98900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 360.594 milliseconds?\nAnswer: 0.0060099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/sqrt(96) + sqrt(20)*-2 + -2)*1.\nAnswer: -15*sqrt(5)\/4 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-98)\/441)\/(77\/(-27) + (-360)\/(-120)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 19797 = -4*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -6 + 24. Suppose -4*f + 11*f = -g*f. Solve 0*b + 3*b - 3 = f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 497843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 974279.\nAnswer: 974279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -843.7 + 805. Let k = 42.7 + j. What is the closest to 1 in -5, -18, k, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + l - 288. Suppose 0 = 5*p + 2*c - 5*c + l, 64 = -4*p - 4*c. Let y(a) = -10*a - 6. Is y(p) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 i when four letters picked without replacement from {f: 4, z: 3, i: 1, o: 2, h: 4}?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*p + 2420 = 93*p. What is the remainder when 657 is divided by p?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0 + -5 + 9 + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 5*h**2 + 1368965*h - 4106940 = 0?\nAnswer: -273796, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 4*r + 4. Let a be o(-2). Calculate the remainder when (684\/a*1)\/(3\/(-5)) is divided by 52.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4761821 litres?\nAnswer: 476.1821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/(-21) - (32\/6)\/(-2). Solve 3*o + g + 3 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/184480396 and 95\/204?\nAnswer: 553441188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -0*h. Suppose 10 = 4*d - l, 0 = 3*d - 3*l - 0*l - 12. Let k(m) = 2*m**2 - 8 - m**d - 3*m + 2*m. Determine k(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1358824*z**2 + 1142733?\nAnswer: -2717648*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4987 by -1.\nAnswer: 4987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 91\/150 - -3\/50. Solve 1\/2*m**3 + 10\/3*m**2 - 49\/6*m**5 - 35\/3*m**4 - f*m + 0 = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344109202181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12132?\nAnswer: 2, 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2)*(-6*a + 2*a + 2*a) - 4*a + 3*a + 0*a + 11*a - a + 74*a.\nAnswer: 79*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-12)\/37) + 36\/16?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - -2 - (-9)\/21. Let p = -5\/21 - j. Sort -2, 0, p.\nAnswer: -2, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and 7.9577.\nAnswer: 8.3577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.264 - 7.264. What is the closest to -5 in k, -1\/2, -1\/6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6157 - 6157 + 3*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (18 - 20 + 89)*(-3 + 1 + 7)*(w - 3*w + 4*w)*(-3 + 3 - w) as s + r*w + m*w**2 and give m.\nAnswer: -870","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61162 + -61159. Factor 1\/3*s**2 + 1\/6*s**5 + 0*s + 0 - 1\/3*s**4 - 1\/6*s**h.\nAnswer: s**2*(s - 2)*(s - 1)*(s + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 5, 0.4, -5, -3\/106, 6.05 in descending order.\nAnswer: 6.05, 5, 4\/3, 0.4, -3\/106, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 361, 326, 267, 184, 77, -54?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1204950 rounded to the nearest 10000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 85280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + b - 864 = 0, 2*b + 1662 = 4*m - 1824. Suppose -45*g + m - 194 = 0. Solve 3*w + g - 9 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -905 - -458. Let d = -154 - g. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/16)\/((-1)\/(-2)). Put s, 5\/6, 2 in increasing order.\nAnswer: 5\/6, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 92 = -5*a, -73 = -3*u + 3*a + 17. What is the remainder when 121 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/2 and ((-7)\/(378\/(-102)) - 1)*12\/310.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*a**2 - 25 + 4*a**2 + 25 + 14650*a - 14650*a.\nAnswer: 92*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 6*r**2 + 10*r + 2. Calculate the remainder when 158 is divided by v(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 780, 783, 786, 789, 792, 795?\nAnswer: 798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-36)*-3 + 39\/12. Find the third derivative of 33*c**2 - 14*c**6 - 39*c**3 + 39*c**y wrt c.\nAnswer: -1680*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/2*(252\/(-15))\/(-21).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15222.0286 plus -4?\nAnswer: 15218.0286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + sqrt(50)\/(sqrt(30)\/sqrt(3)) + sqrt(5) + sqrt(15)\/(sqrt(3)*-2).\nAnswer: 5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 + 2*v**2 + 23 + (-1 + 3 + 1)*(v - v - 2*v**2) - v**2 + 2*v**2 - 3*v**2 to t + j*v**2 + z*v and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, 7312, -0.3, 0.3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 2514*j + 2518*j + 237 = 0, p - 2*j - 129 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {b: 3, i: 8}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 5*p + h, -3*p + 4*h + 7 - 1 = 0. Suppose 0 = -2*x - 0 + p. Let g be ((-70)\/x)\/(2\/(-84)). Round g to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 14. Suppose -d*c = -6*c + 46. What is the remainder when c is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 12:07 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2562 - 46. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1989122047 to the nearest integer?\nAnswer: 1258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10950, 20943, 37606, 60945, 90966, 127675?\nAnswer: 171078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -28*r - 161. Let c be l(-6). Solve 0 = -h + c - 10 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 364*j + 9097. What is f(-25)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12.5 + -6.8. Let a = t + -0.7. Suppose 0 = x + 3*s - 1, 2 = 2*x - 156*s + 161*s. What is the biggest value in -5, a, x, -3.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -1\/2*t**2 + 0*t + 18. Let f(h) be the third derivative of 11*h**4\/24 + 2*h**2. Calculate f(w(u)).\nAnswer: -11*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5*t + 20. Let i be q(0). Is i at most as big as 79\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5+-21\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*i - 48. List the prime factors of 28\/8*(-7)\/((-49)\/i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3060)\/(-24))\/51*(104\/10)\/2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 635 - 303. Suppose 5*j = 9*j - i. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 8*x**3 + 11*x**2 - 51*x + 32. Let n(k) = 4*k**3 + 5*k**2 - 25*k + 16. Let w(p) = -3*i(p) + 5*n(p). Factor w(g).\nAnswer: -4*(g - 1)**2*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3*(sqrt(275)*-1)**2)*-2.\nAnswer: -1650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -102*g**2 + 244*g**2 + 16*g - 80*g - 136*g wrt g.\nAnswer: 284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 43 = 57. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 215 = 5*h. Let a be -2*2 + (-144)\/h. Which is smaller: a or 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1255 and 442.326.\nAnswer: 555119.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 672*l + 4147 = 275*l - 38989 - 12047 for l.\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15832043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2027214.95024 - -2026640. Let a = h + 575. Let k = -0.05 + a. Round k to five dps.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*k - 3*z - 20, 5*k - 3*z = 32. Solve -k*m + 3*g - 4 + 1 = 0, 0 = -2*m + 2*g - 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 6*l**2 + 6*l + 5. Let b be u(-5). Let n(t) = -t**2 + 6*t - 4. Let j be n(4). Suppose -2*q + j = -b. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*i - 44. Let u be 27\/i*-1*4\/6. Factor -3*r**3 + 4*r**3 - 4 - 4*r**4 - r**u + 8*r**2.\nAnswer: -4*(r - 1)**2*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 55.098 - 0.098. Let q = j + -35. Let t = q - 21. Is 68 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*r - 0*f - 2*f, -4*r = 2*f + 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 9:10 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - 5. Suppose -75 = 33*d - k*d. Sort d, 0, -4, 5 in decreasing order.\nAnswer: 5, 0, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -37*y**3 - y**2 - 3*y + 3. Give x(1).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-4)*(-8)\/45*2*9\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**2 + 76*h + 136 = 0. What is h?\nAnswer: -17, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q + 11 = -5*x - 7*q, 3*x + 9 = 2*q for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 11) to base 16.\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -921041583+99940\nAnswer: -920941643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -9*c - 133. Let i(j) = -4*j. Calculate o(i(k)).\nAnswer: 36*k - 133","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*19.2.\nAnswer: -5.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -8640542 and -8640483 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -13. Suppose 15804*h**4 - 2*h**5 + 70*h**2 - 240*h**3 + 245*h - 3*h**5 - 15874*h**y = 0. What is h?\nAnswer: -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1090*k**5 - 3*k + 3 wrt k?\nAnswer: 21800*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 67*n - 1. Let t(g) = 403341*g**2. Determine m(t(u)).\nAnswer: 27023847*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2096028663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 880 + -3553\/4. Let h = -101\/12 - r. Let n = 7 - 7.2. Which is the third biggest value? (a) -2\/3 (b) n (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + sqrt(300) + sqrt(300).\nAnswer: 3 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-8) - (-3)\/2. Differentiate 62*f**3 - 26*f**3 - 23*f**3 - d with respect to f.\nAnswer: 39*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 4*l - 23721, -5*x + 12139 + 11574 = -2*l. Which is smaller: 4738 or x?\nAnswer: 4738","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rn when two letters picked without replacement from {n: 1, r: 2, s: 1, i: 1, d: 2, b: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -241?\nAnswer: 48.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 2. Let k be ((-2)\/30)\/(6\/(-144)*-8). Is p at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -45 in -57\/10, -0.5, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4569081070 to the nearest integer?\nAnswer: 1659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1432237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2688 is divided by 895?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 12*v + 4005 = 0. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 486?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -968*r + 301872 = -8923*r + 1049642 for r.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19.119 - -0.119. Let r = -18.93 - s. Let d be 32\/36 - 2\/3. Sort 4, r, d, -2 in ascending order.\nAnswer: -2, r, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*u = 6 + 48. Suppose -5142 = -u*o - 21*n + 17*n, 0 = 4*o + 4*n - 10288. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2538.13 + -2538. Put 1\/6, -7, g, -5, 1\/4 in ascending order.\nAnswer: -7, -5, g, 1\/6, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 5*b = 122 - 282 + 127, 3*b + 864 = -97*y for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 6:41 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 9:17 PM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-21660)\/(-3) + (6\/(-3) - 6).\nAnswer: 2, 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 21*v**2 + 3*v - 72. Let g be x(21). Let q be 1*(g\/(-18) - 1). Which is the biggest value? (a) -0.4 (b) q (c) 9\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/v**25))\/v**(-4))**(8\/13))**(-30) assuming v is positive.\nAnswer: v**(-6960\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 0*p**2 - 11 - p**2 + 8*p + 0*p**2. Let b be j(8). Let y = 19 + b. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 12. Suppose -6 = 3*j, 2*d + 3*j + 1 = 3. Let m(c) = c**3 - 2*c**2 - 5*c - 2. Calculate the least common multiple of s and m(d).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/10664 and -5\/5952?\nAnswer: 255936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/222 and 103\/10.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 236\/48667 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 13. Suppose -w = -39 + u. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*g - 2*g + g)*(4 - 1 - 1)*(-1 - 1 + 3)*(-137 - 298 + 80 - 182) to f + r*g and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6750 - -6764. Suppose 2*q - 3 = -q. Solve -3*s + q = -l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/1353081 and 32\/2360025.\nAnswer: 101481075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1567047?\nAnswer: 3, 229, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 618028321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 37233?\nAnswer: 37232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 1 + 3 = 0. Let t = p + 13. Differentiate -5 + t + 6 + 5*d - 14*d wrt d.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4001 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*x + 2. Let g = x - 4. Let f = 7 + g. Solve -5*t + 9 = b, -5 + 3 = f*b + t for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/50 of a meter?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 + 1)*(-20)\/(-30). Let j = -44 - -50. What is the nearest to -0.1 in 2, n, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1331 (base 4) to base 11.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -7.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -7 - 7*b + 3 + 11*b - 11. Let x be t(9). What is the remainder when (108\/x)\/((-6)\/(-63)) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(6760\/273) - -1)*(-10)\/8?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23.2 + 116.8. Is g != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -1 (c) 0.1 (d) -11\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.497555 kilometers?\nAnswer: 497555000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g - 1. Let j(c) = 2*c + 7. Determine h(d) + j(d).\nAnswer: d + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 72*n - 740. Determine i(12).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 40. Let t(u) = -22*u**2 - 12*u**2 + s*u**2. Let c(j) = 22*j**2. Determine t(c(k)).\nAnswer: -1452*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/40 and -43\/50.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005209 to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (296*g + 10 - 10 - 6 - 5 + 4)*(2 - 1 - 5).\nAnswer: -1184*g + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -6. Suppose 32*g - 19*g = 39. Let n(p) = -6*p - 1. Let w be n(-1). Solve i + w = 3*u + g, v*u = -i + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*p + 4*p - p + (4 + 3 - 6)*(0 + 0 - 2*p) + (0 + 0 - p)*(-3 + 2 - 1))*(-1 + 1 - 2*p**2) in the form f*p**3 + h*p + n + c*p**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 (base 13) in base 9?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2612, -5247, -7882?\nAnswer: -10517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r - 4 + 29 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*r + 8*r + 2108 = 0. Is r greater than or equal to 64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 + -39. Find the second derivative of -2*c**4 + 7*c - 2*c + 0*c**m wrt c.\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from titwwitttwtiat.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.201 + 563128825.\nAnswer: 563128829.201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -13*v**2 - 2*v + 25. Let o(t) = 2*t**2 - 4. Give -3*i(s) - 21*o(s).\nAnswer: -3*s**2 + 6*s + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23775365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 s when two letters picked without replacement from hbtbkbsbb?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5952.74 hours to seconds.\nAnswer: 21429864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14008 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -68, 0.5, -17614, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*k - 3*k - 27*k to s*k + a and give s.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/265 + -161\/530. Let i = -147.1 - -145.1. What is the fourth biggest value in 0, i, j, -3\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8524 - -20972. Calculate the highest common factor of 64 and u.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8046, 16104, 24162, 32220?\nAnswer: 40278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, 5, -467 in decreasing order.\nAnswer: 6, 5, 1, -467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88074625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1145838876 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 568*c + 2 - 40 - 98 - 148*c**2 - 50*c**4 - 8 - 910*c**3 = 0.\nAnswer: -18, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(251\/(-8) - -31)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of d**3\/3 + 5*d**2\/2 - 4*d + 14. Let j be o(-6). Suppose -c - 5 = 3*k - 2, -2 = -4*c + j*k. Solve c = u + 2 - 6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*m**3 - 4\/5*m**2 + 4\/5 + 1\/5*m.\nAnswer: -(m - 1)*(m + 1)*(m + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5*p - 3. Let u(s) = s**3 + 4*s**2. Let c be u(-3). Let m(o) = -21*o - 13. Give c*z(x) - 2*m(x).\nAnswer: -3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*a - 21470 = 21*a - 94604. What is the remainder when a is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2384 - 7609533615.\nAnswer: -7609533614.7616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.032 - 45.968. Let w = 47.052 - 0.052. Let t = w + p. Which is the closest to t? (a) 0.2 (b) -4\/7 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 884*y**2 + 905*y + 12. Let n(x) = 4*x**2 + x - 4. Let u(l) = 3*n(l) + t(l). Find the second derivative of u(f) wrt f.\nAnswer: -6*f - 1744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5769090199 - 0.23.\nAnswer: 5769090198.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.4, 3\/4, -1.9, 10607?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 - 7.7. Let y = -6.9 - h. Let w = 0.1 + y. Which is the second smallest value? (a) w (b) -0.2 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f\/(((f*f**(-1\/4))\/f)\/f)))\/f**(2\/21))**11 assuming f is positive.\nAnswer: f**(-319\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 152490 and 2600.\nAnswer: 3049800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47786634 and 1596?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -257 - -269. What is the remainder when 454 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + x - 20 - 3 = 0, 4*r - 30 = -2*x. Suppose -r*w = 10 - 26. Solve 0 = -4*g + 4*c + 12, 0 = g - w*c - 0*c - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 654 - 652. Put 5, -3, 84, m in ascending order.\nAnswer: -3, m, 5, 84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2. Let m(x) = -46557*x - 2. Calculate m(w(l)).\nAnswer: -46557*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*q**2 + 14*q**2 - 34*q**2)*(2*q**3 + 3*q**3 + 3*q**3).\nAnswer: -496*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 15 = 4*t + 143, -3*w = -2*t - 464. Calculate the highest common divisor of w and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -207087*f + 2158. Is n(-17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1305\/2 + -653. What is the nearest to x in 0.1, 2\/9, -2, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/285 and 21\/10.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0344583622 - 4.7?\nAnswer: -4.7344583622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11111 (base 2) in base 8?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 568096, 568087, 568078, 568069?\nAnswer: 568060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooh when three letters picked without replacement from {g: 2, o: 3, v: 1, h: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3331880934 plus -0.091?\nAnswer: -3331880934.091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p + 12*p - a = -19, 2*p - 4*a = 14. Determine l so that -3*l + 6*l**3 - 27*l**3 - 3*l**p + 27*l**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxhh when four letters picked without replacement from {r: 1, v: 1, h: 2, x: 1, c: 4}?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 0.13747?\nAnswer: -7.13747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqrqqr. What is prob of picking 1 q and 1 r?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**2 - 9*r - 9. Let n be 6\/12*(-2 + 14). Let u be y(n). Suppose -3 = -v - 2*v. What is the greatest common divisor of u and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9492 and 127974?\nAnswer: 28922124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*i - 45 = 0. Suppose 0 = -s + 2 + 7. What is the highest common divisor of i and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -15, -1, 18832, 3 in ascending order.\nAnswer: -18, -15, -1, 3, 18832","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.58741 times 11\nAnswer: -6.46151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 578*y + 1. Calculate q(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -j - 142, -4*o - 6*j + 184 = -2*j. Suppose 40*z + 28217 = o*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/5)\/((-5)\/150) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 0.034.\nAnswer: 0.0068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - c**2 + 2*c. Let k be (1 + 2)*(3 - 2). Suppose -k*m - 2*m = -15. Let i(q) = 0*q + 2*q + q**m + q - q**2. Calculate -3*a(z) + 2*i(z).\nAnswer: -z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3\/2 + -5\/4. Let m(h) be the first derivative of -2 + c*h - 27\/16*h**4 - 9\/8*h**2 + 9\/4*h**3. Factor m(r).\nAnswer: -(3*r - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -121, -66, 3, 1, -4, -51, -5 in descending order.\nAnswer: 3, 1, -4, -5, -51, -66, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6426481*i**5 + 360*i**2 - 201*i + 7 wrt i.\nAnswer: 385588860*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41.35 - 0.05. Let b = j + 41. Let l = 1 - 1.3. What is the closest to -1 in -2\/7, b, l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1479*g**3*x**3 + 7*g*x**3 + x**3 - 1266*x**2 + 4*x - 30 wrt g?\nAnswer: -4437*g**2*x**3 + 7*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -7.6. Let i = t + 3.4. Which is the closest to 2? (a) i (b) -1\/10 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70235, -281285, -633035, -1125485?\nAnswer: -1758635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 15*l - 16. Let b(g) = 4*g - 2. Let k(u) = -5*b(u) + x(u). Let s(f) = -f - 1. Calculate k(v) - 2*s(v).\nAnswer: -3*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p**2 - 708*p + 5339. Calculate l(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4111 by -1125.\nAnswer: -4111\/1125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 5*a**2\/2 + 208064820*a + 4329096932163240 = 0?\nAnswer: -41612964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(539)*-6.\nAnswer: 84*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5269784, -10539561, -15809338?\n\"Answer: -5269777*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 64*a + 5. Let w be r(-4). Let g be 2005\/(-2)*(-2)\/8. Let v = w + g. Put 2, 1\/5, v in descending order.\nAnswer: 2, 1\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of 5*n**4\/12 - 11*n**3\/6 - n**2. Let a(y) = -y**3 + 14*y**2 + 21*y - 87. Let h be a(15). What is the units digit of o(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*s - 0*s, -3*u = s + 11. Let n(p) = p**3 - 8*p**2 - 10*p + 6. Let q be n(9). Let o = -0.6 + -3.4. What is the closest to 0 in q, o, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c - 4*s + 1, -2*s + 133 = 12*c + 15*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 247 times 25?\nAnswer: 6175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m + 9*m - 14*m + 186 + 5*m to d + s*m and give d.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 109, 0.06, -9, 3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 4 + 17. Let m be 2*2 + (3 - x). Suppose g - 5*o = 74, 3*g + m*o - 262 = 5*o. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, -2, -3.\nAnswer: -48, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 6*v**2 + 85*v - 555. What is a(6)?\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of n**3\/6 + 5*n**2\/2 + 13*n. Let t be h(17). Factor 10*p + 16*p**2 - 18*p**4 + 78*p**3 + 64*p**2 - t*p**2.\nAnswer: -2*p*(p - 5)*(3*p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22334537.9 to the nearest one million.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*q + 6740 = 1800. What is the highest common divisor of q and 1729?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4886 at most as big as -4853?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19011.\nAnswer: 3, 6337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -101, -180, -207, -158, -9?\n\"Answer: 4*s**3 + 2*s**2 - 113*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2291*k + 527 wrt k.\nAnswer: -2291","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -1145 - 1231. List the prime factors of (-1)\/((6\/1)\/v).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 take away 15160099708?\nAnswer: -15160099727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 8*n**2. Let y(o) be the third derivative of o**6\/90 + o**4\/12 + o**3\/2 + 2*o**2 + 35*o. Let q(k) be the second derivative of y(k). Determine q(a(g)).\nAnswer: 64*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*y + 4. Let g(p) = -p - 4. Let w be g(-5). What are the prime factors of w - 2\/(y\/(-22))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 4845?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (21 - 12 + 21)*(0*r**2 - r**2 + 2*r**2 + (2*r + 2*r - 5*r)*(-3*r + 1 - 1) + 1 - 1 - 2*r**2) in the form s*r + f + j*r**2 and give j.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/6 + 4\/(-6). Let u be 3\/6 + 18\/r. Let i(w) be the second derivative of w**3\/6 - w**2\/2 + w. Determine i(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*h + 1107 - 470. What is the greatest common factor of 182 and h?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -87 - -80.35. Let f = -11.24 - z. What is f rounded to 1 decimal place?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5703 - -6536. What is the greatest common factor of 17 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.92794 kilograms in nanograms?\nAnswer: 58927940000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0, 286 in descending order.\nAnswer: 286, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2771 and 6443?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f*f\/(f*f*f**0)*f)*f\/((f\/((f**(3\/4)*f)\/f))\/f))\/(f**(2\/3)\/f*f**(3\/8)*f) assuming f is positive.\nAnswer: f**(-7\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-3) + 1\/3. Suppose 3 = 3*q - n. Let z(x) = -7*x**2 + 2*x**q + 3*x**2. Let b(y) = y**2. What is z(b(o))?\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 842340 - 735?\nAnswer: 841605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -12b?\nAnswer: -12c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/11289 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, d: 1, c: 4, y: 3, m: 1, u: 6}. Give prob of picking 2 a and 1 c.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3987 smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, f: 2, w: 2, s: 1}. What is prob of sequence swf?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and -32475443818?\nAnswer: 32475443817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*n - 26*n + 26*n.\nAnswer: 13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -2, -1\/4, -1\/2, 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10836532?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*v - 126*v - 97*v + 74*v + 75*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13537*j**3*k - 2*j**3 - 18*j**2*k + 19*j**2 - j*k + 3*k wrt j.\nAnswer: 81222*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 4) to base 14\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 63.785.\nAnswer: -6.3785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 3899.\nAnswer: -3896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*p - 440*p + 151*p + 151*p + p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 20, -2\/21, -0.4?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19393849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 1, 9, 4, -2.4 in descending order.\nAnswer: 9, 4, 1, -1\/3, -2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -1\/12*t**4 - t + 0 + 1\/10*t**5 + 0*t**2 + 0*t**3. What is the third derivative of h(b) wrt b?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wcw when three letters picked without replacement from {a: 2, w: 3, x: 6, j: 4, c: 3}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 + 0*x**3 + x**3)*(13 - 21 + 13)*(-4 + 3*x - x + 0*x).\nAnswer: -10*x**4 + 20*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5*h - 5 = 0, 2*k - 4*h = k + 6. Let v = 3 + k. Suppose -3 = -4*y + v. Solve 5*t = -4*j + 2, 3*t + y*j - 4 = -2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59.7 - -58.7. Which is the third smallest value? (a) -8 (b) x (c) -4\/7 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7922242745?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.12 from -3732567.\nAnswer: -3732567.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d**2 - 3*d + 2. Let t be p(1). Which is the closest to -3? (a) -1\/10 (b) t (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 286 divide 1021594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.74 and -16.6.\nAnswer: -17.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-16)\/12)\/(4\/30). Let x(p) = p**2 + 10*p + 1. Let f be x(v). Let k = f - -3. Solve -5*s + 7 = b + 25, -k*s + 2*b = 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 175*u - 1. Let b(z) = 326*z - 1. Give -6*b(c) + 10*x(c).\nAnswer: -206*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + g + 45 = 5*h, -2*h - 4*g - 10 = 0. Solve 0*o + d = -3*o + 10, -h*d + 14 = -3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 448.2 + -448.2039025. Round q to four decimal places.\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + (-2*sqrt(209) - sqrt(209) - sqrt(209) - sqrt(209)))*-3 + sqrt(209))\/sqrt(11).\nAnswer: 13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -6*u + 77. Suppose 0 = -o + 2*k - 5*k - u, -3*o - k - 21 = 0. What are the prime factors of (152\/o - 6\/(-6))*-9?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(1\/4)\/v)\/v**(-5\/4))\/(v**(1\/7)*v**(-1\/10)*v*v))**8 assuming v is positive.\nAnswer: v**(-432\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2809\/91 + 215\/7. Is m >= 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 204098\/13 + 4\/26. What is k rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 1160669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -71*c**2 + 43*c + 39. Give m(-1).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 2 - (-1 + -3 + 2)*18\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58 - 28*u - 37 - 71 + 29*u to the form b + o*u and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*sqrt(1900)*-3 - sqrt(1900)) + 2.\nAnswer: -70*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 137\/4 + -34. Let k = -0.6 + 0.3. Which is the second smallest value? (a) u (b) 5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6224 + -6224. Solve 19*k - 39*k = b for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 296, 299, 304, 311?\n\"Answer: o**2 + 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011100111 + 11?\nAnswer: 110011101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1900) - ((sqrt(1900) + (sqrt(1900) - sqrt(1900)*2))**2 - sqrt(1900))).\nAnswer: -20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 1:50 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/5 + 0)*5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -19*f**2 - 17. Suppose -121 = -12*t + 83. Let j(i) = 6*i**2 + 6. What is t*j(n) + 6*m(n)?\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times 25.6?\nAnswer: 1.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -12. Suppose -f + 22 = 3*u, f + u - 9 - g = 0. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 10*g**4 - 285175*g**3 - 712980*g**2 - 570395*g - 142600 = 0.\nAnswer: -1, -1\/2, 28520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15322, -30659, -45996, -61333, -76670?\n\"Answer: -15337*i + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3244 = 3*s + 5*a, -3*s - 4*a - 1396 - 1852 = 0. Let t = s - -1767. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36360 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5*f + 1. Let i be n(-1). Let m = i - 6. Suppose m = -0*h + 3*h - 18. Solve -2*p + 3*q + 9 = -4, 0 = -2*p - 4*q + h for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 42 = 10*b, 4*b - 61037 = 2*c - 61017 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -15.94. Let j = -0.44 - k. What is the smallest value in 0.3, 2\/11, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -393431, -786866, -1180303, -1573742, -1967183, -2360626?\nAnswer: -2754071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.3070716ns in hours?\nAnswer: 0.000000000000918631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8948387 and 28?\nAnswer: 35793548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iqzzzzjuuzziqjzz. Give prob of sequence uiz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 66194.05 kilometers?\nAnswer: 66194050000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31638 and 653852.\nAnswer: 1961556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1179919417 to the nearest integer?\nAnswer: 1057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 16619891?\nAnswer: -2\/16619891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**2 - 6*d - 38*d + 2*d**2 + d**3.\nAnswer: d**3 - 44*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 171039320 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*g + 55 = -9*g, -3*g + 39 = m. Calculate the highest common divisor of 450 and m.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/7)\/((-12)\/(-168)). Let p(z) = d*z**2 - 4*z**2 + z - z**2 + 0*z + z**3 + 14. Suppose 2*j - 4*m - 15 = -3, 3 = -5*j - m. What is p(j)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 3:06 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -62 - -65. Suppose -q*j = 2*m - 4, 5 - 1 = -3*j + 2*m. Solve j*u + 6 = -2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.056 - 11.744. Let i = v - -12. Let x = -4.4 + 4. What is the nearest to x in 5, i, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22569402?\nAnswer: 2, 3, 457, 8231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 44735.25 litres in millilitres?\nAnswer: 44735250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3516, 3983, 4766, 5871, 7304, 9071, 11178, 13631?\n\"Answer: d**3 + 152*d**2 + 4*d + 3359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -785\/6, -202, -5?\nAnswer: -785\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (132\/8)\/11*8\/(-12). Put 0, k, 5 in increasing order.\nAnswer: k, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1189*(-264)\/(-21648)*(-2)\/1\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + (-2 - 1) - 1300000. Round b to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97618.47 centuries to millennia.\nAnswer: 9761.847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 805 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i - 126 = -5*w, 3*i + 314 - 218 = 5*w for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - n + 72, 3*d + 5*n - 25 = 47. Let l be (d\/18)\/(2\/51). Find the second derivative of 92 + l*o - 36*o**3 - 92 wrt o.\nAnswer: -216*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + -13. Calculate the remainder when 26 is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.1, 6, 2 in descending order.\nAnswer: 6, 2, 0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 + 32 - 5*s + 15 + 13.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 390923?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 3:25 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-2))\/((-16540)\/(-4136) + -4). Let p = -764 + q. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3 + -6*sqrt(5)*-1.\nAnswer: -5 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 - 5752590*n - 23010344.\nAnswer: -(n + 4)*(n + 5752586)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 4*f - 6. Let b be d(6). Suppose -2*j + 40 = -3*j. Let i = b - j. Calculate the remainder when i is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.12 in -0.09, 339, 36, -2\/9?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 9*t. Let c(n) = 12699*n**2. Determine d(c(u)).\nAnswer: 114291*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + g = 50, 3*q - 649*g - 75 = -651*g for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-80)\/(-35) - 4\/14. Let s = 0 + z. What is the second derivative of s*p**5 - 2 + 2 + 4*p - 2*p wrt p?\nAnswer: 40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 10*v**2 - 9*v - 15. Calculate a(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 58*k - 113. Let r(u) = 3*u. Let n(f) = -4*r(f) - z(f). Let p(x) = -209*x + 340. Let j(y) = -7*n(y) + 2*p(y). Differentiate j(b) wrt b.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.87 to 0 decimal places.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4731 + 1594 - 130*v + 1600 + 1537.\nAnswer: -130*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 7 = -i, 0*i - 17 = -i - 4*g. Suppose i*y - 12 + 2 = 0. Suppose 3*j - 8 = y*j. Calculate the greatest common divisor of 72 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3*-8)\/(-2) - 4. Let a(c) = c**2 - 9*c + 20. Let r be a(y). What is the third derivative of -8*u**3 - 7*u**2 + r*u**3 - 4*u**3 - 13*u**4 wrt u?\nAnswer: -312*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23862149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of i**6\/360 + 251*i**4\/24 + i**3\/6 + 3*i**2. Let z(u) be the first derivative of c(u). Is z(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n**5\/12 - 63275*n**4\/12 + 13555*n**3\/2 + 27115*n**2\/3 - 9038*n\/3 = 0 for n.\nAnswer: -1, 0, 2\/7, 2, 9038","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.052525 to three decimal places.\nAnswer: -0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 64*g**3\/3 + 11*g**2\/2 + 11*g + 1442. Let p(t) = -21*t**2 - 4*t - 4. Determine 11*p(z) + 4*w(z).\nAnswer: 25*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**5 + 2*f**5 + 4*f**5 + 2*f**5 + f**5 - 4*f**5 + (f - f - 3*f**5)*(0 + 3 - 5).\nAnswer: 13*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/((-29)\/((-1914)\/110))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 11*j + 10. Let h be d(-12). Let w(q) = -17*q - 2. Let y be w(h). Let n be (-4)\/5 - 3\/5*-8. What is the highest common divisor of n and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5*g - 1975 = 0, 3*d + 29*g - 24*g - 1175 = 0. What is the least common multiple of d and 21?\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 542 is divided by 138.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 10*n - 15. Suppose -n*t + 0*j + 6215 = -3*j, -3*t + j = -3729. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, i: 3}. What is prob of picking 3 i?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38085.\nAnswer: 3, 5, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1094 = -4*f - 2*b, 4*f - 3*b = -8*b + 1109. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 + -8 + (1087 - 1107)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 4:24 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g - 9. Determine s(12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 4)*(5*b + 311 - 313 - 39*b)*(0 - 6 + 3).\nAnswer: 510*b + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-5)*-8*(-2)\/1. Suppose -z*p + 15*p = -5. Suppose 14 = l + l. Calculate the remainder when l is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-504)\/306)\/(-7))\/4.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/2 and -29\/136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 568737913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*g = -55*g + 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -39*g - 1. Calculate w(-1).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -39*a**3\/5 + 13683*a**2\/5 + 5928*a + 4236\/5 = 0. What is a?\nAnswer: -2, -2\/13, 353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 2 = -5*u, 0 = a + 4*u - 22. Let w(p) be the second derivative of 0 + p + 0*p**a - 1\/3*p**3 + 2\/3*p**4. Factor w(v).\nAnswer: 2*v*(4*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 117096 and 168.\nAnswer: 117096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23237*n**3 - 22935 wrt n.\nAnswer: 69711*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdzdl. Give prob of sequence ld.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 5*i + 36, -3*i = 3*a - 8*i - 68. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 15 = 5*l - l, -25 = -5*f - 5*l. Suppose t = 2 + f. Let q be (-26)\/(-10) + 18\/45. Solve -3 = r, -t*w = -r - 0*r + q for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317876827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seventeen halves of a second?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 700984245 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f + 120. Let p be l(5). Suppose 352 = 22*a - p. What is the remainder when 85 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 5*w**2 + 4. Let z(h) = 3*h + 1. Let q be ((-2)\/6)\/((-1)\/15). Suppose -5 = q*y + 5. Let i be z(y). Give r(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-27)\/45 + 26246\/10. Let j = q + -31447\/12. Calculate the common denominator of j and -107\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19396*k + 18623 wrt k.\nAnswer: 19396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*x - 17, -u + 1 = 3*x - 12. Let n(h) = -u - 20*h + 44*h - 22*h. Let s(k) = k. Calculate s(n(l)).\nAnswer: 2*l - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48910 is divided by 43.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9116429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.38 - 0.08. Let h = f - -2.7. Let v be (2\/1)\/(-3*10\/6). Which is the closest to 1\/4? (a) 4 (b) v (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -3*i - 0*i + 39 - 106, -33 = -5*l + i for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**2 + 3*m - 3. Let q(o) = 3*o**2 - 2*o + 2. Let u = -39 - -37. Calculate u*z(g) - 3*q(g).\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 6 = -5*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297533.\nAnswer: 297533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31796443 and 17493?\nAnswer: 5831","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -4 (c) -1 (d) -0.015\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -0 + 5. Let d be (s\/(-3))\/(1\/(-3)). Let n(g) = 5*g + 2 + 1 - 2. Determine n(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.4376 - -0.1536. Let m = -0.116 + s. Let t = 9 + m. Which is the closest to -1\/3? (a) t (b) 0.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**3 - 54*f**2 + 151*f + 27. Does 69 divide i(29)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20048 and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7631\/10 - 762. Let t = 7\/6 - p. Suppose 1 = 3*s - 2. Is s > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-16.017\nAnswer: -3.2034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 343354168571 and -0.5.\nAnswer: 343354168570.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d**3 + 5*d**2 + 5. Let x be ((-3)\/2)\/(13\/26) + 0. Let a be 1*(9\/x - 2). Let v(z) = 45*z**3 + 54*z**2 + 54. What is a*v(q) + 54*n(q)?\nAnswer: -9*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 135*q - 45*q - 87*q. Let v(g) be the third derivative of -11*g**5\/60 - 2*g**2. What is v(i(p))?\nAnswer: -99*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 w when four letters picked without replacement from {w: 18, y: 2}.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -827*x**3 + 1594*x**3 - 620*x**3.\nAnswer: 147*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 2:55 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + o = 3*y + 3, -o + 3 = 0. Suppose -q - 2*p - 13 + 3 = 0, -4*q + 2*p - 10 = y. What is the units digit of (-4)\/(q\/25) - -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199.9 take away -91134200?\nAnswer: 91134399.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*c**3 - 5*c**3 - 21*c**3 + 39*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + 4)*(-2)\/(-1). Suppose 0 = 8*t - q*t. Let b = -2 + 2. Do t and b have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -782 - -792. Solve 9 + 41 = -f*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26437, 26430, 26423?\nAnswer: 26416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*m = -48*m - 983 - 116 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110 + 301332?\nAnswer: 301222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6285161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - j + 53. Let q be u(0). Suppose v + 3 = 2*t + 19, -t = -3*v + q. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 45, -5 in descending order.\nAnswer: 45, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -95970137.7 less than -4593?\nAnswer: 95965544.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + y + 1. Let b(o) = -3*o**3. Let u(x) = -b(x) + 2*t(x). Let q(j) = 37*j**2 + 7*j**3 + 5 - 65*j**2 + 33*j**2 + 5*j. What is -2*q(v) + 5*u(v)?\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5607?\nAnswer: 3, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*d - 831 = -158*d. What is the remainder when d\/8 - (-1)\/(-16)*-2 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -5. Does 3 divide (4 - 2)\/n*-23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 275 and 6160.\nAnswer: 30800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of s**3 - s**2 + s + 1. Let x = 253 - 252. Give w(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -42*s - 37. Let q(w) = -3*w. Determine q(v(d)).\nAnswer: 126*d + 111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + -23 + 15 - (-12)\/1. Suppose 2*r - r - 10 = -5*s, 2*s = r - 3. Suppose -2*p + 3*p = -y*m + 765, 3*m = r*p + 431. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 926, 3902, 8866, 15812, 24734, 35626, 48482?\nAnswer: 63296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 a factor of 92164841?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 44127 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 891 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1203*-1478.7\nAnswer: -1778876.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 46*a + 311. Give i(-15).\nAnswer: -379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -71 - -4?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 7*q - 2. Let a be k(6). Suppose 5*f = -13 + 48. Suppose -f = -g + a. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 - -10. Is (-2)\/z + 8832\/14 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 184041 and 8775.\nAnswer: 13803075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 0 + 15\/5 - 1372. Let u be (-6 + h\/(-210))*(-28)\/(-2). Factor 0 + 28\/5*f**3 + 8\/5*f - u*f**2.\nAnswer: 4*f*(f - 1)*(7*f - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 4, -2, -4 in decreasing order.\nAnswer: 10, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - (7 + -82 + 35)) + -8 + 0?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -62812 (base 14) in base 12?\nAnswer: -b5594","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 595707 - 1787116\/3. Determine i, given that 4*i**2 + 1\/6*i**4 + 7\/6 - d*i**3 - 11\/3*i = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6442 - 167599\/26. Let f = 27879\/1088 - 438\/17. What is the common denominator of j and f?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 v when three letters picked without replacement from httvvvvvtvtvt.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 2 + -7 - (7 + -1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 867 or 2185?\nAnswer: 867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 13 = 5*v - 5, -1135*v + 4*m + 48 = -1137*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 511*j - 23 - 511*j + 15*j**2 + 9*j**2 wrt j?\nAnswer: 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -25*f**3 - 4*f**2 - 2*f + 4. Let n be x(-2). Let r = n - -36. What is the least common multiple of 6 and r?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 5*t - 30 + 32 = 0, 0 = -5*s - t - 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 102419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 3161.90856 to the nearest 100.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15 + 152*q**5 + 273*q**5 - 20 + 15*q wrt q?\nAnswer: 8500*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92700 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 16 (c) -7\/4 (d) -4 (e) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -8*n**3 + 203324*n**2 + 305000*n + 101668 = 0.\nAnswer: -1, -1\/2, 25417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 44 - 8 = 0. Let p = c - -25. Suppose 0 = 4*d + 5*x - p, d = -d - x + 8. Solve 0 = -9*j + d*j - 5*h - 15, 0 = 3*h for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 15*y**2 - 76*y + 4. Let u = 264 + -283. What is the remainder when 133 is divided by f(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1466 is divided by 98?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -15)*(1008\/(-54))\/(-14). Solve 5*j - 17*c = -22*c + v, -3*j - c = -14 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (46\/6 - -3)*6. Suppose 2*v - g = 56. Suppose -2*c + 3*c - v = 0. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73478 is divided by 110?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**13*c*c**18*c*c\/(c**5\/c*c)*c**(-6\/5)*c assuming c is positive.\nAnswer: c**(149\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/7 + 44*v**2\/7 + 290*v\/7 + 600\/7.\nAnswer: 2*(v + 5)**2*(v + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -29 (b) -6 (c) -3225131\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(t - t - 2*t) - 62*t - 10 + 3 + 80*t.\nAnswer: 20*t - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1077 - -1079. Let h(c) = c**3 - 6*c**2 - 2*c - 6. Let y be h(7). What is the second derivative of -25*n**2 - 22*n**2 - 24*n - y*n**l + 75*n**2 wrt n?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1959981922 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1895 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -i + 5*g, 4*i + 4*g + 0*g = 296. What is the greatest common factor of 6 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**4)\/(u\/(u*u**(-2\/17)))*(u*u*u*((u**(-5)\/u)\/u)\/u)\/(u*u**0))**(-7\/5) assuming u is positive.\nAnswer: u**(217\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (-2 + 5 + 2 + -7 + -6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 221644051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1413904 * 49\nAnswer: -69281296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 3*l + 17 = j, -4*j - 5*l = 17. Let u be (-8)\/(-20) + (-5)\/(175\/24). Sort u, j, 0.1 in ascending order.\nAnswer: u, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14750 and 118?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o + 3. Let v be k(-1). Let t = -5 + 8. Let x be t\/(3 + (-9)\/v). Calculate the highest common divisor of x and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - m - 26 = 0, 3*y - 2*m = -0*y + 17. Solve 1 - 11 = -y*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -471.264579495 and 81.8.\nAnswer: -389.464579495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.7238 and -221.8.\nAnswer: -222.5238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 37*(1107\/(-54))\/41*-2?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 12. Let m be (2 + r - 96)*(-5)\/(-2). Let s = m - -410. Calculate the greatest common factor of s and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344159243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**2 + 19*z - 4. Let c be g(9). Solve -3*k = -c*d - 2, 3*k = 4*d + 6 - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 69*o - 8. Let s = -67 + 69. What is the hundreds digit of r(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (1*sqrt(187)*6)\/(sqrt(275)*-4))**2.\nAnswer: -9*sqrt(17)\/5 + 1053\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1134*h**3 - 91121*h**2 - 32102*h - 1760 = 0. Calculate h.\nAnswer: -80, -2\/7, -11\/162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - (-3 + (-6 - -9))) + 460 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 5*c - 340, -k - 2*c + 104 = c. Does 16 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.8 + 2.2. Let f be (-1)\/(-1) + 5\/(-15). Put f, i, 1 in increasing order.\nAnswer: i, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*v**2 + 26*v**5 - 9*v**5 + 6*v**5 wrt v?\nAnswer: 1380*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) - (sqrt(125) + (sqrt(125) - (sqrt(125)*-2 - sqrt(125)))))\/sqrt(5))\/((sqrt(75)\/sqrt(5))\/sqrt(3)).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*w - 40. Let j be 0 + w + -5 + 5. Let i be 24\/(-15) + (-6)\/j. Let q(n) = 8*n**3 + n**2 - n - 1. What is q(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k + 2*k + 2*k**3 - 172*k.\nAnswer: 2*k**3 - 171*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 4. Suppose 8*q + 0*q = -10*q. Determine z(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1259252.\nAnswer: 2, 314813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-130*b + 211 - 211)*(-6 + 6 - 8*b) - 2 + b**2 + 2 - b**2 - 3*b**2 + 3*b**2 + (0 + 0 + b)*(3*b - b + 0*b) + 0 + 0 - b**2.\nAnswer: 1041*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 2*x + 3*k = -9, 15 = 4*x - 3*k. Suppose 3 = -p, 0 = x*w - 4*p - 9 - 6. Suppose -f = -w - 4. Solve -f*m = 20, 3*m - 13 = -5*i + 5*m for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81630 by 6.\nAnswer: 13605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11047955*n + 11048010*n - 22095971*n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0 - 5 = 0. Let i be (r + -4)*(-63)\/45. Suppose -4*t + 8 = -3*q, 4*q + 1 - i = 2*t. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(5\/4)*y)**(3\/10)\/(y**19)**(-2\/5) assuming y is positive.\nAnswer: y**(331\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40400767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 11*m - 10. Let a be 2 + (-1)\/1 + -3. Calculate the remainder when o(4) is divided by (18\/(-4))\/(a\/4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 989 and 1567565?\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (-220)\/30)\/((-29)\/((-2088)\/(-54)))?\nAnswer: 44\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2 + 0*u - 2*u + 0. Let x be d(-2). Suppose 3*b - 2*j - 18 = 0, 4*j + 4 = -x*b - 0. Does 4 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 5:54 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f - 22. Give u(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1070431, -2140861, -3211291?\n\"Answer: -1070430*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 y when two letters picked without replacement from ybbybzbbyy?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 300 and 1300?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2177.\nAnswer: 7, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428609 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/9*(-122 - 1) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99250971 is divided by 44.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.730706 tonnes to kilograms.\nAnswer: 6730.706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 103, 2, -37, -3 in descending order.\nAnswer: 103, 2, 0, -2, -3, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 1\/2 (c) -0.6 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3450405 and 2975.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1568386, 6273504, 14115368, 25093978?\n\"Answer: 1568373*k**2 - k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065873 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 8:14 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21205?\nAnswer: 5, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 226343*g*u - 101970*u with respect to g.\nAnswer: 226343*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-17))\/((-35)\/14).\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*j - 3 + j + 3 + (-2*j + 0*j + 3*j)*(-3 + 4 + 1))*(-6 + 4 - 7).\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1021644 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 369539050 and 420365.\nAnswer: 4064929550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 11*o**2 + 20*o + 20. Let a(y) = 5*y**2 + 10*y + 10. Let h(f) = 9*a(f) - 4*j(f). Is h(-11) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - b + 4. Let i be d(0). Let m(g) = -10*g + 7. Let c(o) = -5*o + 3. Let q(s) = -13*c(s) + 6*m(s). Is q(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14810699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 371)\/(-105 - -104). What is the greatest common divisor of 14 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -572*j**2 + 257158*j**3 + 1045*j - 128581*j**3 + 2*j**4 - 128579*j**3 wrt j.\nAnswer: 24*j**2 - 12*j - 1144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*h + 246*h - 121*h.\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*t + 32 + 2*t - 10 + 5*t to the form z*t + q and give q.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**2 + 1515036*p + 1515033 = 0. What is p?\nAnswer: -505011, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-2))\/(2*3\/12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j**2 - 22*j + 21. Let a be (-6*6\/54)\/((8\/(-3))\/4). Determine r(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + -5 + sqrt(19) + (sqrt(304))**2 + 4.\nAnswer: 2*sqrt(19) + 303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1bc (base 15) in base 5?\nAnswer: -3102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3598 is divided by 150.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1088) + 4 - (-5 + (0 + sqrt(1088) - sqrt(1088))) - -5*((sqrt(1088) - (sqrt(1088)*-4 + sqrt(1088))) + sqrt(1088))*6*-1)**2.\nAnswer: -21888*sqrt(17) + 25137233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 12:37 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 160367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 63*r - 138. What are the prime factors of y(41)?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i = 3679 + 731. Suppose -t = b - 149, 2*b - t - i = t. What is the remainder when b is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 69\/21 + 2\/(-7). Let d be (-1)\/2 + 19\/2. What is the smallest common multiple of 1 and m*3\/d - -9?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 9 + 21. Calculate the greatest common factor of 3 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13131 (base 4) to base 9\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 338 and 17069.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -3 (b) -2 (c) -100 (d) 1\/1724 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-66) + 0 - (-46)\/(-11). Let d be (-120)\/(-66) + 6\/33. Let q = -27 - -27. Put q, d, o in decreasing order.\nAnswer: d, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(125\/(-90)) + (-2 - 1)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 12:38 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -61, -124, -201, -286?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5 = i, 5*a - 27 = -4*i + 7. Suppose 0 = -2*t + a*t - 12. Is t > -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 979861 is divided by 246.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 542*v - 53857 + 18627 for v.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*f**2 + 4*f**2 + 2*f**2)*(35 - 20 + 19) as i*f + z + k*f**2 and give k.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 120110977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/7 + 2*(-720)\/84.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -r**9\/332640 - r**8\/36960 + r**6\/990 + r**5\/20 + r**2. Let t(d) be the third derivative of j(d). Find b such that t(b) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21380.\nAnswer: 2, 5, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 4:16 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 6*h + 2*h - 4 - 4*h. Let f be w(4). Let u = f - 5. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/49 in 6\/7, -66.4, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**4 + 3 - 3 - 5*c**4 + 3*c**4 + c**4 + (c**2 - c**2 + c**2)*(2*c - 2*c - 2*c**2) - 2*c**4 - c**3 + c**3 + 11*c**4 + 14 - 14.\nAnswer: 5*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1700 and 170?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 10) to base 3.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 99317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -429, -4052, -13867, -32964, -64433, -111364, -176847, -263972?\n\"Answer: -515*j**3 - 6*j**2 + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 165731 less than or equal to 165716?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 12:51 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3203 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and (15 + -10)*(5 + 2)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 10) to base 16\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-460*b - 6 - 3 + 491*b)*(-4 + 6 + 3) as n*b + l and give l.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.498 + 217.498. Let s = l - 217.4. Sort 5, 0, s, -4.\nAnswer: -4, s, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t**3 + 6*t**2 - t + 8. Let s(j) = 4*j + 4 + 6*j**3 + 20 + 13*j**2 - 6*j - 7. Calculate 13*h(k) - 6*s(k).\nAnswer: 3*k**3 - k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -208, -201, -190, -175, -156?\n\"Answer: 2*k**2 + k - 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -200*y**2 - 171*y**2 + 220*y**2 to p + q*y**2 + o*y and give q.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 0*p + 0*p**2 + 3 - 2\/21*p**3. Factor v(l).\nAnswer: -2*l**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4942097 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 32*u = -31*u + 5748, -5*s + u + 7186 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.6 + -4.9. Which is the nearest to 1\/3? (a) j (b) -0.4 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-14)\/21)\/(1\/18*4). Sort -13, h, 2.\nAnswer: -13, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3803722, -3803730, -3803738, -3803746?\nAnswer: -3803754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -593 + 0.26?\nAnswer: -592.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1469, 1430, 1345, 1184, 917?\nAnswer: 514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-5225)\/660)\/(-19)*(-16)\/290\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 0.08, 0.4, 2, -1.3, -2?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/(-6))\/(3\/(-6)). Let v = -0.3 + 0.1. Let g = 492\/19 + -26. Which is the nearest to o? (a) 2\/3 (b) v (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 8:07 AM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9590 + 14807. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o + 5 = 4*b + 2*o, 3*b - 3*o = 6 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 1 - 1 = 0. Let l = 1 + 5. Suppose z*t - 2*r = -l, -4*t + r - 7 = 5. Let u(f) = -f**2 - 4*f - 1. What is u(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m\/(m\/(m\/m**(2\/29))))*m*m**6*((m*m*m**(-2\/9))\/m)**(-20) assuming m is positive.\nAnswer: m**(-2215\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 0 - 2)*(5 - 5 + 2) + 6 - 4 - 1)*(-7*u - 14*u + u).\nAnswer: -60*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 5*c**2 - 12*c + 56. Calculate the lowest common multiple of r(4) and 98.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of q**5\/30 + q**2. Let x(k) = 64*k**2 - 9. Let f(n) = 29*n**2 - 4. Let y(h) = 9*f(h) - 4*x(h). Determine y(i(v)).\nAnswer: 20*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five eighths of a micrometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107838?\nAnswer: 2, 3, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, w: 1, s: 2, m: 2, q: 1, n: 1}. What is prob of picking 1 s and 2 m?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1707 - 1705. Calculate the smallest common multiple of z and 79.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*r - 1, 3*a - r = 12. Let s(y) = y**2 + 15*y + 12. Is s(a) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*n - 2411 + 0*n + 2404)*(-3 + 27 - 264).\nAnswer: 1920*n + 1680","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o**2 - 3*o**2 - o**2)*(53*o - 101*o**2 - 53*o) to i + t*o**3 + p*o + g*o**4 + z*o**2 and give g.\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**5 + 33*w**4 - 100*w**3 + 70*w**2 + 5*w - 5. Let h(x) = 3*x**5 + 33*x**4 - 99*x**3 + 69*x**2 + 6*x - 6. Let u(g) = 5*h(g) - 6*m(g). Factor u(v).\nAnswer: 3*v**2*(v - 5)**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -395 - -647. Let q = -305.7 + v. Round q to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 17587*o - 645. What is the ten thousands digit of y(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.15 - 1.55. What is the nearest to h in 15, -2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) + 1 + 5 + sqrt(200)*-2 + -1 - (-1 + (sqrt(200) - -3*(1 + sqrt(200)))))*-6)**2.\nAnswer: -10800*sqrt(2) + 180324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 4*b - 11, -4*k + 7*b - 12*b + 22 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 81 and 351.\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 1327523778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 10*g**2 - 7*g - 5. What is q(-5)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 2*t + 1. Let k be d(3). Let f be 35\/100 + (-1)\/(-4). Which is the closest to 2? (a) k (b) -0.4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3286421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57645, 114448, 171263, 228090, 284929, 341780, 398643?\nAnswer: 455518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1004, 4381, 10650, 20333, 33952, 52029, 75086, 103645?\nAnswer: 138228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -1\/2406 (c) 1\/2 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -27 in descending order.\nAnswer: 0, -1, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -71215*j**2. Let q(n) = n**2. What is f(q(h))?\nAnswer: -71215*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15922 - 15822. What is the greatest common divisor of h and 31700?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-21) - 2434\/(-7). Suppose l = -2*d + 6*d. Calculate the remainder when 32 is divided by 6\/(-15) - d\/(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5398.093ml?\nAnswer: 5.398093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*g. Suppose 0 = -4*j - p - 4*p + 126, -3*j - 2*p + 91 = g. Round j to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 38179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-68)\/16*(-11 + 7). Put 1, 2, k, -1 in decreasing order.\nAnswer: k, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 268166*d**4 + 102*d**3 + 15*d**2 + 11*d + 20863 wrt d.\nAnswer: 6435984*d + 612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-15)\/i**(-25))\/((i**(-17)*i*i)\/((i**10\/i)\/i)))**(-1\/2) assuming i is positive.\nAnswer: i**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54008, -216183, -486476, -864887, -1351416, -1946063, -2648828?\nAnswer: -3459711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*l = 4*f + 175, -5*f - 3*l + 8 = 5 - 7 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1423, 2849, 4275, 5701, 7127, 8553?\nAnswer: 9979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (1\/2 + 52 + 1924\/104)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3203972.\nAnswer: 2, 800993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52 - 86569\/1660)*1\/15*-1*8.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.529 in -0.07, -0.3, 1\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, 14, -4364, 4, 3 in ascending order.\nAnswer: -4364, -0.04, 3, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-105)\/12 - (-9)\/12. Let x be (1 - 2)\/(12\/n). Let h be 0 - 2\/(-22)*3. Which is the second smallest value? (a) x (b) h (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*o + 5*o - 2*k, 5*o - 3*k - 10 = 0. Solve 2*c + o*c**2 + 5*c**4 + c**4 - 5*c**4 + 4*c**3 = 0 for c.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 5*x = 33, -3*g + 4*g = 5*x - 27 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 56\/42*(-1)\/2\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 6, -17 = 5*p - 5*b + 8 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 - -56. Let c(d) = 5*d + i*d + 2*d - 9. List the prime factors of c(2).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 - -19. Suppose -c + 10 = b. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a milligram in micrograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(8\/(-2))*55\/165)\/(25\/(-550))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*w**3 - 2*w - 50*w**3 + 8 - 3*w + 5*w + 2*w**2 to the form f + o*w + l*w**2 + h*w**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 7.8. Let l = m + 1.1. Which is the nearest to 0? (a) l (b) -3 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a microgram in nanograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6994*d**2 - 2 + 15559*d**2 - 1 + 37052*d**2.\nAnswer: 59605*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234 - 3*x**3 - 3*x**2 + 234 - 10*x**2.\nAnswer: -3*x**3 - 13*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-124)\/12)\/(5 + 2 + -3) and 91\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3036 and 20?\nAnswer: -60720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -3. Solve -10 = -o*m - 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -1160091708089?\nAnswer: 1160091708091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 247, 0.21, -2\/17, -2\/7 in descending order.\nAnswer: 247, 0.21, -2\/17, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45184.13 - -44795. What is y rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 254 or 1691\/5?\nAnswer: 254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y. Let q(k) = -30*k**2 + 2*k + 1412387. What is q(u(l))?\nAnswer: -270*l**2 + 6*l + 1412387","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 6*w = 288. Suppose -7*s = -s + w. Let z be (s\/(-4))\/((-6)\/32*-2). Put -5, z, 3 in decreasing order.\nAnswer: z, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -70*c**3 - 7*c**2 - 5*c + 47. Let w(z) = 80*z**3 + 8*z**2 + 6*z - 46. What is 7*v(p) + 6*w(p)?\nAnswer: -10*p**3 - p**2 + p + 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 + 37.5. Sort 1\/3, -2, -1\/3, a.\nAnswer: -2, a, -1\/3, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h. Let m(g) = -245*g. What is p(m(c))?\nAnswer: -735*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*f*w**2 - 302*f*w - 7*w**2 wrt w.\nAnswer: 12*f - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(539)*-2)**2 + (0 + (sqrt(11) - (-1 + sqrt(1100))))**2.\nAnswer: -18*sqrt(11) + 78508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j + 34 = 2*d, 2*d = -3*j - 2*d + 35 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 4 - 7)*(-3 - 3 + 5) - 1 + 1 + 3 + 0 - 1 - 1)*(0*q**2 + 2*q**3 + 0*q**2).\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-6)*5 + -5 + 4\/(-4). Let l(o) = -o**3 - 11*o**2 - 5*o - 15. Determine l(s).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3756*h = -3762*h + 3*f - 30, -5*h + 17 = f for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31108 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 503 - 514. Sort -0.3, j, 3 in descending order.\nAnswer: 3, -0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 6*x**2 - 39*x + 13. Give b(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*d - 43 = 0, d = 3*v + 2*d - 58. Find the second derivative of 8 - v + 2*a + 11 - 62*a**3 wrt a.\nAnswer: -372*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -4 - 3 - (-15 + -3 - 13).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, j: 4, r: 2, s: 2}. What is prob of picking 1 j and 1 s?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-64)*378 - (-6)\/8. Let l = -43 + h. Suppose l*x + t + 5 = 4*t, t = -4*x + 13. Let c(n) = -3*n - 2. Give c(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7625359 and 49616.\nAnswer: 3101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}